113688000 has 168 divisors, whose sum is σ = 406938480. Its totient is φ = 30297600.

The previous prime is 113687999. The next prime is 113688019. The reversal of 113688000 is 886311.

It is a super-2 number, since 2×113688000² = 25849922688000000, which contains 22 as substring.

It is a congruent number.

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, 71211 + ... + 72789.

Almost surely, 2^113688000 is an apocalyptic number.

113688000 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 113688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203469240).

113688000 is an abundant number, since it is smaller than the sum of its proper divisors (293250480).

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

113688000 is a wasteful number, since it uses less digits than its factorization.

113688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 113688000 is about 10662.4575028461. The cubic root of 113688000 is about 484.4380070656.

The spelling of 113688000 in words is "one hundred thirteen million, six hundred eighty-eight thousand".