113752800 has 432 divisors, whose sum is σ = 478531872. Its totient is φ = 24883200.

The previous prime is 113752799. The next prime is 113752813. The reversal of 113752800 is 8257311.

113752800 is a `hidden beast` number, since 1 + 137 + 528 + 0 + 0 = 666.

It is a congruent number.

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, 1864770 + ... + 1864830.

Almost surely, 2^113752800 is an apocalyptic number.

113752800 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 113752800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239265936).

113752800 is an abundant number, since it is smaller than the sum of its proper divisors (364779072).

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

113752800 is a wasteful number, since it uses less digits than its factorization.

113752800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 113752800 is about 10665.4957690677. The cubic root of 113752800 is about 484.5300297374.

The spelling of 113752800 in words is "one hundred thirteen million, seven hundred fifty-two thousand, eight hundred".