113475600 has 480 divisors, whose sum is σ = 492032000. Its totient is φ = 24261120.

The previous prime is 113475587. The next prime is 113475641. The reversal of 113475600 is 6574311.

113475600 is a `hidden beast` number, since 1 + 13 + 47 + 5 + 600 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1436361 + ... + 1436439.

Almost surely, 2^113475600 is an apocalyptic number.

113475600 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 113475600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246016000).

113475600 is an abundant number, since it is smaller than the sum of its proper divisors (378556400).

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

113475600 is a wasteful number, since it uses less digits than its factorization.

113475600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 113475600 is about 10652.4926660383. The cubic root of 113475600 is about 484.1361318233.

The spelling of 113475600 in words is "one hundred thirteen million, four hundred seventy-five thousand, six hundred".