113188608 has 108 divisors (see below), whose sum is σ = 351547560. Its totient is φ = 34818048.

The previous prime is 113188591. The next prime is 113188619. The reversal of 113188608 is 806881311.

113188608 is a `hidden beast` number, since 11 + 31 + 8 + 8 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28063 + ... + 31841.

It is an arithmetic number, because the mean of its divisors is an integer number (3255070).

Almost surely, 2^113188608 is an apocalyptic number.

113188608 is a gapful number since it is divisible by the number (18) 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 113188608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175773780).

113188608 is an abundant number, since it is smaller than the sum of its proper divisors (238358952).

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

113188608 is a wasteful number, since it uses less digits than its factorization.

113188608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3814 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 113188608 is about 10639.0134881012. The cubic root of 113188608 is about 483.7276431388.

The spelling of 113188608 in words is "one hundred thirteen million, one hundred eighty-eight thousand, six hundred eight".