113976288 has 192 divisors, whose sum is σ = 359251200. Its totient is φ = 35043840.

The previous prime is 113976271. The next prime is 113976311. The reversal of 113976288 is 882679311.

113976288 is a `hidden beast` number, since 1 + 13 + 9 + 7 + 628 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 869983 + ... + 870113.

It is an arithmetic number, because the mean of its divisors is an integer number (1871100).

Almost surely, 2^113976288 is an apocalyptic number.

113976288 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 113976288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179625600).

113976288 is an abundant number, since it is smaller than the sum of its proper divisors (245274912).

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

113976288 is a wasteful number, since it uses less digits than its factorization.

113976288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 208 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 113976288 is about 10675.9677781455. The cubic root of 113976288 is about 484.8471378536.

The spelling of 113976288 in words is "one hundred thirteen million, nine hundred seventy-six thousand, two hundred eighty-eight".