113756832 has 144 divisors (see below), whose sum is σ = 386104320. Its totient is φ = 32489856.

The previous prime is 113756807. The next prime is 113756927. The reversal of 113756832 is 238657311.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 40993 + ... + 43679.

It is an arithmetic number, because the mean of its divisors is an integer number (2681280).

Almost surely, 2^113756832 is an apocalyptic number.

113756832 is a gapful number since it is divisible by the number (12) 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 113756832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193052160).

113756832 is an abundant number, since it is smaller than the sum of its proper divisors (272347488).

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

113756832 is a wasteful number, since it uses less digits than its factorization.

113756832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2699 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 113756832 is about 10665.6847881418. The cubic root of 113756832 is about 484.5357544376.

The spelling of 113756832 in words is "one hundred thirteen million, seven hundred fifty-six thousand, eight hundred thirty-two".