113945832 has 512 divisors, whose sum is σ = 464486400. Its totient is φ = 24883200.

The previous prime is 113945827. The next prime is 113945837. The reversal of 113945832 is 238549311.

113945832 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (113945827) and next prime (113945837).

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

It is not an unprimeable number, because it can be changed into a prime (113945837) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3675657 + ... + 3675687.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 2^113945832 is an apocalyptic number.

113945832 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 113945832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232243200).

113945832 is an abundant number, since it is smaller than the sum of its proper divisors (350540568).

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

113945832 is a wasteful number, since it uses less digits than its factorization.

113945832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 84 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 113945832 is about 10674.5413016204. The cubic root of 113945832 is about 484.8039481102.

It can be divided in two parts, 1139 and 45832, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 113945832 in words is "one hundred thirteen million, nine hundred forty-five thousand, eight hundred thirty-two".