115126560 has 144 divisors (see below), whose sum is σ = 405699840. Its totient is φ = 29698560.

The previous prime is 115126553. The next prime is 115126589. The reversal of 115126560 is 65621511.

It is a happy number.

115126560 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 2 + 656 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43351 + ... + 45929.

It is an arithmetic number, because the mean of its divisors is an integer number (2817360).

Almost surely, 2^115126560 is an apocalyptic number.

115126560 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 115126560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202849920).

115126560 is an abundant number, since it is smaller than the sum of its proper divisors (290573280).

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

115126560 is a wasteful number, since it uses less digits than its factorization.

115126560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 115126560 is about 10729.7045625683. The cubic root of 115126560 is about 486.4727402322.

The spelling of 115126560 in words is "one hundred fifteen million, one hundred twenty-six thousand, five hundred sixty".