115365888 has 144 divisors (see below), whose sum is σ = 364127400. Its totient is φ = 34897920.

The previous prime is 115365847. The next prime is 115365931. The reversal of 115365888 is 888563511.

115365888 is a `hidden beast` number, since 11 + 53 + 6 + 588 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×115365888² = 26618576228057088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202468 + ... + 203036.

Almost surely, 2^115365888 is an apocalyptic number.

115365888 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 115365888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182063700).

115365888 is an abundant number, since it is smaller than the sum of its proper divisors (248761512).

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

115365888 is a wasteful number, since it uses less digits than its factorization.

115365888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 585 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The square root of 115365888 is about 10740.8513629042. The cubic root of 115365888 is about 486.8096041850.

It can be divided in two parts, 11536 and 5888, that added together give a square (17424 = 132²).

The spelling of 115365888 in words is "one hundred fifteen million, three hundred sixty-five thousand, eight hundred eighty-eight".