113381184 has 112 divisors (see below), whose sum is σ = 354787200. Its totient is φ = 31266816.

The previous prime is 113381179. The next prime is 113381197. The reversal of 113381184 is 481183311.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 37522 + ... + 40430.

Almost surely, 2^113381184 is an apocalyptic number.

113381184 is a gapful number since it is divisible by the number (14) 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 113381184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177393600).

113381184 is an abundant number, since it is smaller than the sum of its proper divisors (241406016).

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

113381184 is a wasteful number, since it uses less digits than its factorization.

113381184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2960 (or 2950 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 113381184 is about 10648.0601050144. The cubic root of 113381184 is about 484.0018213624.

The spelling of 113381184 in words is "one hundred thirteen million, three hundred eighty-one thousand, one hundred eighty-four".