113645376 has 112 divisors (see below), whose sum is σ = 359867200. Its totient is φ = 34960896.

The previous prime is 113645353. The next prime is 113645381. The reversal of 113645376 is 673546311.

113645376 is a `hidden beast` number, since 1 + 1 + 3 + 645 + 3 + 7 + 6 = 666.

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 113645376.

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 15 ways as a sum of consecutive naturals, for example, 19935 + ... + 24993.

It is an arithmetic number, because the mean of its divisors is an integer number (3213100).

Almost surely, 2^113645376 is an apocalyptic number.

113645376 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 113645376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179933600).

113645376 is an abundant number, since it is smaller than the sum of its proper divisors (246221824).

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

113645376 is a wasteful number, since it uses less digits than its factorization.

113645376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5093 (or 5077 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 113645376 is about 10660.4585267239. The cubic root of 113645376 is about 484.3774575304.

The spelling of 113645376 in words is "one hundred thirteen million, six hundred forty-five thousand, three hundred seventy-six".