113288544 has 144 divisors (see below), whose sum is σ = 354161808. Its totient is φ = 35500032.

The previous prime is 113288521. The next prime is 113288551. The reversal of 113288544 is 445882311.

113288544 is a `hidden beast` number, since 1 + 1 + 32 + 88 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 113288499 and 113288508.

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, 131764 + ... + 132620.

It is an arithmetic number, because the mean of its divisors is an integer number (2459457).

Almost surely, 2^113288544 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 113288544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177080904).

113288544 is an abundant number, since it is smaller than the sum of its proper divisors (240873264).

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

113288544 is an equidigital number, since it uses as much as digits as its factorization.

113288544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 879 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 113288544 is about 10643.7091279309. The cubic root of 113288544 is about 483.8699648392.

It can be divided in two parts, 1132 and 88544, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 113288544 in words is "one hundred thirteen million, two hundred eighty-eight thousand, five hundred forty-four".