115315200 has 720 divisors, whose sum is σ = 554089536. Its totient is φ = 22118400.

The previous prime is 115315177. The next prime is 115315231. The reversal of 115315200 is 2513511.

115315200 is a `hidden beast` number, since 115 + 31 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8870394 + ... + 8870406.

Almost surely, 2^115315200 is an apocalyptic number.

115315200 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 115315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277044768).

115315200 is an abundant number, since it is smaller than the sum of its proper divisors (438774336).

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

115315200 is a wasteful number, since it uses less digits than its factorization.

115315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 115315200 is about 10738.4915141746. The cubic root of 115315200 is about 486.7382976651.

Adding to 115315200 its reverse (2513511), we get a palindrome (117828711).

The spelling of 115315200 in words is "one hundred fifteen million, three hundred fifteen thousand, two hundred".