113634288 has 120 divisors (see below), whose sum is σ = 343259280. Its totient is φ = 34974720.

The previous prime is 113634281. The next prime is 113634299. The reversal of 113634288 is 882436311.

113634288 is a `hidden beast` number, since 1 + 13 + 634 + 2 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113634281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111670 + ... + 112682.

It is an arithmetic number, because the mean of its divisors is an integer number (2860494).

Almost surely, 2^113634288 is an apocalyptic number.

113634288 is a gapful number since it is divisible by the number (18) 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 113634288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171629640).

113634288 is an abundant number, since it is smaller than the sum of its proper divisors (229624992).

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

113634288 is a wasteful number, since it uses less digits than its factorization.

113634288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1078 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 113634288 is about 10659.9384613608. The cubic root of 113634288 is about 484.3617039874.

It can be divided in two parts, 11363 and 4288, that added together give a palindrome (15651).

The spelling of 113634288 in words is "one hundred thirteen million, six hundred thirty-four thousand, two hundred eighty-eight".