113138592 has 96 divisors (see below), whose sum is σ = 350429184. Its totient is φ = 31276800.

The previous prime is 113138581. The next prime is 113138609. The reversal of 113138592 is 295831311.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18117 + ... + 23547.

It is an arithmetic number, because the mean of its divisors is an integer number (3650304).

Almost surely, 2^113138592 is an apocalyptic number.

113138592 is a gapful number since it is divisible by the number (12) 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 113138592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175214592).

113138592 is an abundant number, since it is smaller than the sum of its proper divisors (237290592).

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

113138592 is a wasteful number, since it uses less digits than its factorization.

113138592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5482 (or 5474 counting only the distinct ones).

The product of its digits is 6480, while the sum is 33.

The square root of 113138592 is about 10636.6626344921. The cubic root of 113138592 is about 483.6563824741.

The spelling of 113138592 in words is "one hundred thirteen million, one hundred thirty-eight thousand, five hundred ninety-two".