113665200 has 240 divisors, whose sum is σ = 405926400. Its totient is φ = 26956800.

The previous prime is 113665199. The next prime is 113665207. The reversal of 113665200 is 2566311.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (113665207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1042746 + ... + 1042854.

It is an arithmetic number, because the mean of its divisors is an integer number (1691360).

Almost surely, 2^113665200 is an apocalyptic number.

113665200 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 113665200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202963200).

113665200 is an abundant number, since it is smaller than the sum of its proper divisors (292261200).

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

113665200 is a wasteful number, since it uses less digits than its factorization.

113665200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 113665200 is about 10661.3882773305. The cubic root of 113665200 is about 484.4056204021.

The spelling of 113665200 in words is "one hundred thirteen million, six hundred sixty-five thousand, two hundred".