113889800 has 192 divisors, whose sum is σ = 309355200. Its totient is φ = 38707200.

The previous prime is 113889791. The next prime is 113889823. The reversal of 113889800 is 8988311.

113889800 = T₂₃₀ + T₂₃₁ + ... + T₈₈₅.

It is a Harshad number since it is a multiple of its sum of digits (38).

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 47 ways as a sum of consecutive naturals, for example, 2648579 + ... + 2648621.

It is an arithmetic number, because the mean of its divisors is an integer number (1611225).

Almost surely, 2^113889800 is an apocalyptic number.

113889800 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 113889800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154677600).

113889800 is an abundant number, since it is smaller than the sum of its proper divisors (195465400).

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

113889800 is a wasteful number, since it uses less digits than its factorization.

113889800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 38.

The square root of 113889800 is about 10671.9164164643. The cubic root of 113889800 is about 484.7244688576.

The spelling of 113889800 in words is "one hundred thirteen million, eight hundred eighty-nine thousand, eight hundred".