113624532 has 180 divisors, whose sum is σ = 366727284. Its totient is φ = 30481920.

The previous prime is 113624519. The next prime is 113624557. The reversal of 113624532 is 235426311.

113624532 is a `hidden beast` number, since 1 + 1 + 3 + 624 + 5 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33593616 + 80030916 = 5796^2 + 8946^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 113624496 and 113624505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 269682 + ... + 270102.

Almost surely, 2^113624532 is an apocalyptic number.

113624532 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 113624532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183363642).

113624532 is an abundant number, since it is smaller than the sum of its proper divisors (253102752).

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

113624532 is a wasteful number, since it uses less digits than its factorization.

113624532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 450 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 113624532 is about 10659.4808503979. The cubic root of 113624532 is about 484.3478420680.

The spelling of 113624532 in words is "one hundred thirteen million, six hundred twenty-four thousand, five hundred thirty-two".