113936256 has 192 divisors, whose sum is σ = 381888000. Its totient is φ = 31933440.

The previous prime is 113936237. The next prime is 113936267. The reversal of 113936256 is 652639311.

113936256 is a `hidden beast` number, since 11 + 393 + 6 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 113936256.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 572445 + ... + 572643.

It is an arithmetic number, because the mean of its divisors is an integer number (1989000).

Almost surely, 2^113936256 is an apocalyptic number.

113936256 is a gapful number since it is divisible by the number (16) 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 113936256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190944000).

113936256 is an abundant number, since it is smaller than the sum of its proper divisors (267951744).

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

113936256 is a wasteful number, since it uses less digits than its factorization.

113936256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 282 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 113936256 is about 10674.0927483323. The cubic root of 113936256 is about 484.7903667661.

The spelling of 113936256 in words is "one hundred thirteen million, nine hundred thirty-six thousand, two hundred fifty-six".