113306752 has 64 divisors (see below), whose sum is σ = 245259000. Its totient is φ = 51830784.

The previous prime is 113306737. The next prime is 113306759. The reversal of 113306752 is 257603311.

It can be written as a sum of positive squares in 4 ways, for example, as 77018176 + 36288576 = 8776^2 + 6024^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 113306752.

It is not an unprimeable number, because it can be changed into a prime (113306759) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247708 + ... + 248164.

Almost surely, 2^113306752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113306752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122629500).

113306752 is an abundant number, since it is smaller than the sum of its proper divisors (131952248).

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

113306752 is a wasteful number, since it uses less digits than its factorization.

113306752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 113306752 is about 10644.5644344896. The cubic root of 113306752 is about 483.8958863550.

The spelling of 113306752 in words is "one hundred thirteen million, three hundred six thousand, seven hundred fifty-two".