113936544 has 120 divisors (see below), whose sum is σ = 338918580. Its totient is φ = 37545984.

The previous prime is 113936527. The next prime is 113936551. The reversal of 113936544 is 445639311.

It can be written as a sum of positive squares in 2 ways, for example, as 91011600 + 22924944 = 9540^2 + 4788^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 113936499 and 113936508.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 292702 + ... + 293090.

Almost surely, 2^113936544 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 113936544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169459290).

113936544 is an abundant number, since it is smaller than the sum of its proper divisors (224982036).

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

113936544 is a wasteful number, since it uses less digits than its factorization.

113936544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 507 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 113936544 is about 10674.1062389317. The cubic root of 113936544 is about 484.7907752386.

The spelling of 113936544 in words is "one hundred thirteen million, nine hundred thirty-six thousand, five hundred forty-four".