113918400 has 252 divisors, whose sum is σ = 421321992. Its totient is φ = 30274560.

The previous prime is 113918369. The next prime is 113918417. The reversal of 113918400 is 4819311.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 388654 + ... + 388946.

Almost surely, 2^113918400 is an apocalyptic number.

113918400 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 113918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210660996).

113918400 is an abundant number, since it is smaller than the sum of its proper divisors (307403592).

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

113918400 is an equidigital number, since it uses as much as digits as its factorization.

113918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 113918400 is about 10673.2562978690. The cubic root of 113918400 is about 484.7650401219.

It can be divided in two parts, 11391 and 8400, that added together give a palindrome (19791).

The spelling of 113918400 in words is "one hundred thirteen million, nine hundred eighteen thousand, four hundred".