113356800 has 312 divisors, whose sum is σ = 426587280. Its totient is φ = 29491200.

The previous prime is 113356769. The next prime is 113356807. The reversal of 113356800 is 8653311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (113356807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2764780 + ... + 2764820.

Almost surely, 2^113356800 is an apocalyptic number.

113356800 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 113356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213293640).

113356800 is an abundant number, since it is smaller than the sum of its proper divisors (313230480).

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

113356800 is an equidigital number, since it uses as much as digits as its factorization.

113356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 113356800 is about 10646.9150461530. The cubic root of 113356800 is about 483.9671220523.

The spelling of 113356800 in words is "one hundred thirteen million, three hundred fifty-six thousand, eight hundred".