113875200 has 216 divisors, whose sum is σ = 418202400. Its totient is φ = 30320640.

The previous prime is 113875169. The next prime is 113875213. The reversal of 113875200 is 2578311.

113875200 is a `hidden beast` number, since 1 + 138 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×113875200² = 25935122350080000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172471 + ... + 173129.

Almost surely, 2^113875200 is an apocalyptic number.

113875200 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 113875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209101200).

113875200 is an abundant number, since it is smaller than the sum of its proper divisors (304327200).

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

113875200 is an equidigital number, since it uses as much as digits as its factorization.

113875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 669 counting only the distinct ones).

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

The square root of 113875200 is about 10671.2323561995. The cubic root of 113875200 is about 484.7037550340.

The spelling of 113875200 in words is "one hundred thirteen million, eight hundred seventy-five thousand, two hundred".