| Base | Representation |
|---|---|
| bin | 10000000111001… |
| … | …10110111101000 |
| 3 | 100102100000021200 |
| 4 | 20003212313220 |
| 5 | 234100211433 |
| 6 | 21225004200 |
| 7 | 3230604204 |
| oct | 1003466750 |
| 9 | 312300250 |
| 10 | 135163368 |
| 11 | 6a32926a |
| 12 | 39323660 |
| 13 | 22005a32 |
| 14 | 13d45b04 |
| 15 | bced613 |
| hex | 80e6de8 |
135163368 has 96 divisors (see below), whose sum is σ = 380133000. Its totient is φ = 43352064.
The previous prime is 135163367. The next prime is 135163393. The reversal of 135163368 is 863361531.
It is a happy number.
135163368 is a `hidden beast` number, since 13 + 5 + 1 + 633 + 6 + 8 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 111133764 + 24029604 = 10542^2 + 4902^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (135163367) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300808 + ... + 301256.
Almost surely, 2135163368 is an apocalyptic number.
135163368 is a gapful number since it is divisible by the number (18) 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 135163368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190066500).
135163368 is an abundant number, since it is smaller than the sum of its proper divisors (244969632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
135163368 is a wasteful number, since it uses less digits than its factorization.
135163368 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 611 (or 604 counting only the distinct ones).
The product of its digits is 38880, while the sum is 36.
The square root of 135163368 is about 11625.9781523965. The cubic root of 135163368 is about 513.1996304774.
It can be divided in two parts, 135163 and 368, that added together give a palindrome (135531).
The spelling of 135163368 in words is "one hundred thirty-five million, one hundred sixty-three thousand, three hundred sixty-eight".
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