115331200 has 96 divisors (see below), whose sum is σ = 297480960. Its totient is φ = 44098560.

The previous prime is 115331171. The next prime is 115331201. The reversal of 115331200 is 2133511.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (115331201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 72817 + ... + 74383.

It is an arithmetic number, because the mean of its divisors is an integer number (3098760).

Almost surely, 2^115331200 is an apocalyptic number.

115331200 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 115331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148740480).

115331200 is an abundant number, since it is smaller than the sum of its proper divisors (182149760).

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

115331200 is a wasteful number, since it uses less digits than its factorization.

115331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 115331200 is about 10739.2364719285. The cubic root of 115331200 is about 486.7608082928.

Adding to 115331200 its reverse (2133511), we get a palindrome (117464711).

The spelling of 115331200 in words is "one hundred fifteen million, three hundred thirty-one thousand, two hundred".