115691136 has 128 divisors (see below), whose sum is σ = 341496000. Its totient is φ = 34406400.

The previous prime is 115691117. The next prime is 115691141. The reversal of 115691136 is 631196511.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 115691097 and 115691106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257440 + ... + 257888.

Almost surely, 2^115691136 is an apocalyptic number.

115691136 is a gapful number since it is divisible by the number (16) 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 115691136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170748000).

115691136 is an abundant number, since it is smaller than the sum of its proper divisors (225804864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115691136 is a wasteful number, since it uses less digits than its factorization.

115691136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 526 counting only the distinct ones).

The product of its digits is 4860, while the sum is 33.

The square root of 115691136 is about 10755.9814057110. The cubic root of 115691136 is about 487.2666580854.

The spelling of 115691136 in words is "one hundred fifteen million, six hundred ninety-one thousand, one hundred thirty-six".