113517144 has 96 divisors (see below), whose sum is σ = 345552480. Its totient is φ = 33403392.

The previous prime is 113517139. The next prime is 113517161. The reversal of 113517144 is 441715311.

113517144 is a `hidden beast` number, since 1 + 1 + 3 + 517 + 144 = 666.

It is a super-2 number, since 2×113517144² = 25772283963833472, which contains 22 as substring.

It is a congruent number.

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, 18892 + ... + 24164.

It is an arithmetic number, because the mean of its divisors is an integer number (3599505).

Almost surely, 2^113517144 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 113517144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172776240).

113517144 is an abundant number, since it is smaller than the sum of its proper divisors (232035336).

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

113517144 is a wasteful number, since it uses less digits than its factorization.

113517144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5321 (or 5314 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 113517144 is about 10654.4424537373. The cubic root of 113517144 is about 484.1952061896.

The spelling of 113517144 in words is "one hundred thirteen million, five hundred seventeen thousand, one hundred forty-four".