113713632 has 120 divisors (see below), whose sum is σ = 352182600. Its totient is φ = 35894016.

The previous prime is 113713631. The next prime is 113713643. The reversal of 113713632 is 236317311.

113713632 is a `hidden beast` number, since 1 + 13 + 7 + 13 + 632 = 666.

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 = 113713596 and 113713605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113713631) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48094 + ... + 50402.

It is an arithmetic number, because the mean of its divisors is an integer number (2934855).

Almost surely, 2^113713632 is an apocalyptic number.

113713632 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 113713632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176091300).

113713632 is an abundant number, since it is smaller than the sum of its proper divisors (238468968).

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

113713632 is a wasteful number, since it uses less digits than its factorization.

113713632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2350 (or 2333 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 113713632 is about 10663.6594094148. The cubic root of 113713632 is about 484.4744113239.

The spelling of 113713632 in words is "one hundred thirteen million, seven hundred thirteen thousand, six hundred thirty-two".