113288736 has 96 divisors (see below), whose sum is σ = 329204736. Its totient is φ = 33824000.

The previous prime is 113288713. The next prime is 113288737. The reversal of 113288736 is 637882311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 113288694 and 113288703.

It is not an unprimeable number, because it can be changed into a prime (113288737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74221 + ... + 75731.

It is an arithmetic number, because the mean of its divisors is an integer number (3429216).

Almost surely, 2^113288736 is an apocalyptic number.

113288736 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 113288736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164602368).

113288736 is an abundant number, since it is smaller than the sum of its proper divisors (215916000).

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

113288736 is a wasteful number, since it uses less digits than its factorization.

113288736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1598 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 113288736 is about 10643.7181473393. The cubic root of 113288736 is about 483.8702381913.

The spelling of 113288736 in words is "one hundred thirteen million, two hundred eighty-eight thousand, seven hundred thirty-six".