115715200 has 48 divisors (see below), whose sum is σ = 285860610. Its totient is φ = 46284800.

The previous prime is 115715189. The next prime is 115715203. The reversal of 115715200 is 2517511.

It can be written as a sum of positive squares in 3 ways, for example, as 100160064 + 15555136 = 10008^2 + 3944^2 .

It is a super-2 number, since 2×115715200² = 26780015022080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (115715203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14881 + ... + 21280.

Almost surely, 2^115715200 is an apocalyptic number.

115715200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115715200 is an abundant number, since it is smaller than the sum of its proper divisors (170145410).

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

115715200 is an equidigital number, since it uses as much as digits as its factorization.

115715200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36185 (or 36168 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 22.

The square root of 115715200 is about 10757.0999809428. The cubic root of 115715200 is about 487.3004399071.

The spelling of 115715200 in words is "one hundred fifteen million, seven hundred fifteen thousand, two hundred".