115909200 has 180 divisors, whose sum is σ = 438954048. Its totient is φ = 28089600.

The previous prime is 115909187. The next prime is 115909219. The reversal of 115909200 is 2909511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38137 + ... + 41063.

Almost surely, 2^115909200 is an apocalyptic number.

115909200 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 115909200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219477024).

115909200 is an abundant number, since it is smaller than the sum of its proper divisors (323044848).

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

115909200 is a wasteful number, since it uses less digits than its factorization.

115909200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 115909200 is about 10766.1135048819. The cubic root of 115909200 is about 487.5726124581.

The spelling of 115909200 in words is "one hundred fifteen million, nine hundred nine thousand, two hundred".