115731200 has 162 divisors, whose sum is σ = 313081524. Its totient is φ = 42332160.

The previous prime is 115731181. The next prime is 115731221. The reversal of 115731200 is 2137511.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 17 ways as a sum of consecutive naturals, for example, 1081547 + ... + 1081653.

It is an arithmetic number, because the mean of its divisors is an integer number (1932602).

Almost surely, 2^115731200 is an apocalyptic number.

115731200 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 115731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156540762).

115731200 is an abundant number, since it is smaller than the sum of its proper divisors (197350324).

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

115731200 is a wasteful number, since it uses less digits than its factorization.

115731200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 115731200 is about 10757.8436501001. The cubic root of 115731200 is about 487.3228986325.

Adding to 115731200 its reverse (2137511), we get a palindrome (117868711).

The spelling of 115731200 in words is "one hundred fifteen million, seven hundred thirty-one thousand, two hundred".