113832000 has 448 divisors, whose sum is σ = 456468480. Its totient is φ = 27648000.

The previous prime is 113831999. The next prime is 113832001. The reversal of 113832000 is 238311.

It is an interprime number because it is at equal distance from previous prime (113831999) and next prime (113832001).

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

It is not an unprimeable number, because it can be changed into a prime (113832001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3671985 + ... + 3672015.

Almost surely, 2^113832000 is an apocalyptic number.

113832000 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 113832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228234240).

113832000 is an abundant number, since it is smaller than the sum of its proper divisors (342636480).

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

113832000 is a wasteful number, since it uses less digits than its factorization.

113832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 113832000 is about 10669.2080305897. The cubic root of 113832000 is about 484.6424544446.

The spelling of 113832000 in words is "one hundred thirteen million, eight hundred thirty-two thousand".