| Base | Representation |
|---|---|
| bin | 10000001011011… |
| … | …10000100000000 |
| 3 | 100110101010220000 |
| 4 | 20011232010000 |
| 5 | 234220421440 |
| 6 | 21244520000 |
| 7 | 3235401510 |
| oct | 1005560400 |
| 9 | 313333800 |
| 10 | 135717120 |
| 11 | 6a677310 |
| 12 | 39550000 |
| 13 | 2216aab6 |
| 14 | 1404b840 |
| 15 | bdac730 |
| hex | 816e100 |
135717120 has 720 divisors, whose sum is σ = 641063808. Its totient is φ = 26542080.
The previous prime is 135717107. The next prime is 135717121. The reversal of 135717120 is 21717531.
It is a happy number.
135717120 is a `hidden beast` number, since 1 + 3 + 571 + 71 + 20 = 666.
It is a tau number, because it is divible by the number of its divisors (720).
It is a super-2 number, since 2×1357171202 = 36838273322188800, which contains 22 as substring.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (135717121) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7983352 + ... + 7983368.
Almost surely, 2135717120 is an apocalyptic number.
135717120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 135717120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320531904).
135717120 is an abundant number, since it is smaller than the sum of its proper divisors (505346688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
135717120 is a wasteful number, since it uses less digits than its factorization.
135717120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 68 (or 45 counting only the distinct ones).
The product of its (nonzero) digits is 1470, while the sum is 27.
The square root of 135717120 is about 11649.7690964242. The cubic root of 135717120 is about 513.8995195896.
The spelling of 135717120 in words is "one hundred thirty-five million, seven hundred seventeen thousand, one hundred twenty".
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