113716800 has 252 divisors, whose sum is σ = 414566100. Its totient is φ = 29552640.

The previous prime is 113716793. The next prime is 113716817. The reversal of 113716800 is 8617311.

It can be written as a sum of positive squares in 6 ways, for example, as 6718464 + 106998336 = 2592^2 + 10344^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 763126 + ... + 763274.

Almost surely, 2^113716800 is an apocalyptic number.

113716800 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 113716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207283050).

113716800 is an abundant number, since it is smaller than the sum of its proper divisors (300849300).

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

113716800 is a wasteful number, since it uses less digits than its factorization.

113716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 113716800 is about 10663.8079502587. The cubic root of 113716800 is about 484.4789103467.

The spelling of 113716800 in words is "one hundred thirteen million, seven hundred sixteen thousand, eight hundred".