113458800 has 240 divisors, whose sum is σ = 447749120. Its totient is φ = 23915520.

The previous prime is 113458769. The next prime is 113458819. The reversal of 113458800 is 8854311.

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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108681 + ... + 109719.

Almost surely, 2^113458800 is an apocalyptic number.

113458800 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 113458800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223874560).

113458800 is an abundant number, since it is smaller than the sum of its proper divisors (334290320).

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

113458800 is a wasteful number, since it uses less digits than its factorization.

113458800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 113458800 is about 10651.7040890179. The cubic root of 113458800 is about 484.1122386150.

The spelling of 113458800 in words is "one hundred thirteen million, four hundred fifty-eight thousand, eight hundred".