113162400 has 432 divisors, whose sum is σ = 457470720. Its totient is φ = 26956800.

The previous prime is 113162389. The next prime is 113162429. The reversal of 113162400 is 4261311.

It is a happy number.

113162400 is a `hidden beast` number, since 11 + 31 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

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, 3650385 + ... + 3650415.

It is an arithmetic number, because the mean of its divisors is an integer number (1058960).

Almost surely, 2^113162400 is an apocalyptic number.

113162400 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 113162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228735360).

113162400 is an abundant number, since it is smaller than the sum of its proper divisors (344308320).

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

113162400 is a wasteful number, since it uses less digits than its factorization.

113162400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 113162400 is about 10637.7817236490. The cubic root of 113162400 is about 483.6903057162.

The spelling of 113162400 in words is "one hundred thirteen million, one hundred sixty-two thousand, four hundred".