113652000 has 576 divisors, whose sum is σ = 515144448. Its totient is φ = 23040000.

The previous prime is 113651963. The next prime is 113652023. The reversal of 113652000 is 256311.

113652000 is a `hidden beast` number, since 1 + 13 + 652 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2771980 + ... + 2772020.

It is an arithmetic number, because the mean of its divisors is an integer number (894348).

Almost surely, 2^113652000 is an apocalyptic number.

113652000 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 113652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257572224).

113652000 is an abundant number, since it is smaller than the sum of its proper divisors (401492448).

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

113652000 is a wasteful number, since it uses less digits than its factorization.

113652000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 113652000 is about 10660.7692030172. The cubic root of 113652000 is about 484.3868682489.

The spelling of 113652000 in words is "one hundred thirteen million, six hundred fifty-two thousand".