115942200 has 144 divisors (see below), whose sum is σ = 395313240. Its totient is φ = 28089600.

The previous prime is 115942187. The next prime is 115942213. The reversal of 115942200 is 2249511.

It is an interprime number because it is at equal distance from previous prime (115942187) and next prime (115942213).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71802 + ... + 73398.

Almost surely, 2^115942200 is an apocalyptic number.

115942200 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 115942200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197656620).

115942200 is an abundant number, since it is smaller than the sum of its proper divisors (279371040).

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

115942200 is a wasteful number, since it uses less digits than its factorization.

115942200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 115942200 is about 10767.6459822934. The cubic root of 115942200 is about 487.6188796209.

The spelling of 115942200 in words is "one hundred fifteen million, nine hundred forty-two thousand, two hundred".