113249760 has 96 divisors (see below), whose sum is σ = 384199200. Its totient is φ = 27875328.

The previous prime is 113249753. The next prime is 113249761. The reversal of 113249760 is 67942311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113249761) 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, 2835 + ... + 15314.

It is an arithmetic number, because the mean of its divisors is an integer number (4002075).

Almost surely, 2^113249760 is an apocalyptic number.

113249760 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 113249760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192099600).

113249760 is an abundant number, since it is smaller than the sum of its proper divisors (270949440).

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

113249760 is a wasteful number, since it uses less digits than its factorization.

113249760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18180 (or 18172 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 113249760 is about 10641.8870507067. The cubic root of 113249760 is about 483.8147413835.

The spelling of 113249760 in words is "one hundred thirteen million, two hundred forty-nine thousand, seven hundred sixty".