113513760 has 144 divisors (see below), whose sum is σ = 410240376. Its totient is φ = 28483584.

The previous prime is 113513747. The next prime is 113513791. The reversal of 113513760 is 67315311.

It can be written as a sum of positive squares in 4 ways, for example, as 92390544 + 21123216 = 9612^2 + 4596^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22162 + ... + 26798.

Almost surely, 2^113513760 is an apocalyptic number.

113513760 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 113513760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205120188).

113513760 is an abundant number, since it is smaller than the sum of its proper divisors (296726616).

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

113513760 is a wasteful number, since it uses less digits than its factorization.

113513760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4675 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 113513760 is about 10654.2836455578. The cubic root of 113513760 is about 484.1903947787.

The spelling of 113513760 in words is "one hundred thirteen million, five hundred thirteen thousand, seven hundred sixty".