113756400 has 150 divisors (see below), whose sum is σ = 408378872. Its totient is φ = 30326400.

The previous prime is 113756351. The next prime is 113756429. The reversal of 113756400 is 4657311.

113756400 is a `hidden beast` number, since 1 + 13 + 7 + 5 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 30645 + ... + 34155.

Almost surely, 2^113756400 is an apocalyptic number.

113756400 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 113756400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204189436).

113756400 is an abundant number, since it is smaller than the sum of its proper divisors (294622472).

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

113756400 is a wasteful number, since it uses less digits than its factorization.

113756400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3541 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 113756400 is about 10665.6645362584. The cubic root of 113756400 is about 484.5351410833.

The spelling of 113756400 in words is "one hundred thirteen million, seven hundred fifty-six thousand, four hundred".