113765040 has 160 divisors (see below), whose sum is σ = 404736000. Its totient is φ = 29341440.

The previous prime is 113765033. The next prime is 113765053. The reversal of 113765040 is 40567311.

113765040 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 650 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 113764995 and 113765013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66111 + ... + 67809.

It is an arithmetic number, because the mean of its divisors is an integer number (2529600).

Almost surely, 2^113765040 is an apocalyptic number.

113765040 is a gapful number since it is divisible by the number (10) 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 113765040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202368000).

113765040 is an abundant number, since it is smaller than the sum of its proper divisors (290970960).

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

113765040 is a wasteful number, since it uses less digits than its factorization.

113765040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 113765040 is about 10666.0695666211. The cubic root of 113765040 is about 484.5474078734.

The spelling of 113765040 in words is "one hundred thirteen million, seven hundred sixty-five thousand, forty".