115651200 has 192 divisors, whose sum is σ = 435597120. Its totient is φ = 26419200.

The previous prime is 115651189. The next prime is 115651223. The reversal of 115651200 is 2156511.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×115651200² = 26750400122880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66340 + ... + 68060.

It is an arithmetic number, because the mean of its divisors is an integer number (2268735).

Almost surely, 2^115651200 is an apocalyptic number.

115651200 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 115651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217798560).

115651200 is an abundant number, since it is smaller than the sum of its proper divisors (319945920).

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

115651200 is a wasteful number, since it uses less digits than its factorization.

115651200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 115651200 is about 10754.1247900515. The cubic root of 115651200 is about 487.2105842972.

The spelling of 115651200 in words is "one hundred fifteen million, six hundred fifty-one thousand, two hundred".