113776128 has 60 divisors (see below), whose sum is σ = 328378908. Its totient is φ = 37923840.

The previous prime is 113776127. The next prime is 113776129. The reversal of 113776128 is 821677311.

113776128 is a `hidden beast` number, since 1 + 1 + 37 + 7 + 612 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (113776127) and next prime (113776129).

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

It is a junction number, because it is equal to n+sod(n) for n = 113776092 and 113776101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113776127) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7738 + ... + 16953.

Almost surely, 2^113776128 is an apocalyptic number.

113776128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

113776128 is an abundant number, since it is smaller than the sum of its proper divisors (214602780).

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

113776128 is an equidigital number, since it uses as much as digits as its factorization.

113776128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24715 (or 24696 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 113776128 is about 10666.5893330530. The cubic root of 113776128 is about 484.5631493440.

The spelling of 113776128 in words is "one hundred thirteen million, seven hundred seventy-six thousand, one hundred twenty-eight".