113715200 has 72 divisors (see below), whose sum is σ = 282071790. Its totient is φ = 45465600.

The previous prime is 113715187. The next prime is 113715253. The reversal of 113715200 is 2517311.

It can be written as a sum of positive squares in 3 ways, for example, as 92775424 + 20939776 = 9632^2 + 4576^2 .

It is a super-2 number, since 2×113715200² = 25862293422080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50090 + ... + 52310.

Almost surely, 2^113715200 is an apocalyptic number.

113715200 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 113715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141035895).

113715200 is an abundant number, since it is smaller than the sum of its proper divisors (168356590).

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

113715200 is an equidigital number, since it uses as much as digits as its factorization.

113715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 113715200 is about 10663.7329298890. The cubic root of 113715200 is about 484.4766381234.

The spelling of 113715200 in words is "one hundred thirteen million, seven hundred fifteen thousand, two hundred".