113814800 has 60 divisors (see below), whose sum is σ = 298309776. Its totient is φ = 41385600.

The previous prime is 113814781. The next prime is 113814863. The reversal of 113814800 is 8418311.

It is a self number, because there is not a number n which added to its sum of digits gives 113814800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8534 + ... + 17333.

Almost surely, 2^113814800 is an apocalyptic number.

113814800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113814800 is an abundant number, since it is smaller than the sum of its proper divisors (184494976).

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

113814800 is a wasteful number, since it uses less digits than its factorization.

113814800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25896 (or 25885 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 113814800 is about 10668.4019421842. The cubic root of 113814800 is about 484.6180434117.

The spelling of 113814800 in words is "one hundred thirteen million, eight hundred fourteen thousand, eight hundred".