The number 136
136 is a triangular number: 1 + 2 + … + 16 = 136. Its prime factorisation is × 17. Divisors (8): 1, 2, 4, 8, 17, 34, 68, 136.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 136: a triangular number: 1 + 2 + … + 16 = 136.
- 2
136 is composite. Its prime factorisation is
- 3
The divisors add up to 270; without 136 itself that is 134, so 136 is deficient (134 is less than 136). Euler's totient φ(136) = 64 numbers up to 136 share no factor with it.
- 4
The digits of 136 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 15 steps to reach 1.
LaTeX source of the formulas on this page
\[ 136 = 2^{3} \times 17 \]136 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 270 |
| Euler totient φ(n) | 64 |
| Square | 18496 |
| Cube | 2515456 |
| Square root | 11.661904 (= 2√34) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 15 |
| Scientific notation | 1.36 × |
136 in other forms
| Form | Value |
|---|---|
| In words | one hundred and thirty-six |
| Roman numerals | CXXXVI |
| Binary (base 2) | 10001000 |
| Octal (base 8) | 210 |
| Hexadecimal (base 16) | 88 |
| Base 3 | 12001 |
| As time | 136 seconds = 2 min 16 s |
Is 136 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (136 ÷ 2 = 68) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (136 ÷ 4 = 34) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (136 ÷ 8 = 17) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 136 a prime number?
No. 136 = × 17, so it is divisible by 2.
What are the factors of 136?
1, 2, 4, 8, 17, 34, 68, 136.
What is 136 in binary?
10001000 (hexadecimal 88, octal 210).
What is the square root of 136?
About 11.6619, exactly 2√34.
What is 136 in Roman numerals?
CXXXVI.
Is 136 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 136?
136 is a triangular number: 1 + 2 + … + 16 = 136.