115192800 has 144 divisors (see below), whose sum is σ = 416692080. Its totient is φ = 30712320.

The previous prime is 115192793. The next prime is 115192811. The reversal of 115192800 is 8291511.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 18934 + ... + 24266.

It is an arithmetic number, because the mean of its divisors is an integer number (2893695).

Almost surely, 2^115192800 is an apocalyptic number.

115192800 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 115192800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208346040).

115192800 is an abundant number, since it is smaller than the sum of its proper divisors (301499280).

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

115192800 is a wasteful number, since it uses less digits than its factorization.

115192800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5362 (or 5343 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 115192800 is about 10732.7908765614. The cubic root of 115192800 is about 486.5660224314.

The spelling of 115192800 in words is "one hundred fifteen million, one hundred ninety-two thousand, eight hundred".