113636520 has 144 divisors (see below), whose sum is σ = 384389460. Its totient is φ = 30233088.

The previous prime is 113636519. The next prime is 113636527. The reversal of 113636520 is 25636311.

113636520 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 3 + 652 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104162436 + 9474084 = 10206^2 + 3078^2 .

It is a super-3 number, since 3×113636520³ (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (113636527) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 262224 + ... + 262656.

Almost surely, 2^113636520 is an apocalyptic number.

113636520 is a gapful number since it is divisible by the number (10) 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 113636520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192194730).

113636520 is an abundant number, since it is smaller than the sum of its proper divisors (270752940).

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

113636520 is an frugal number, since it uses more digits than its factorization.

113636520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 113636520 is about 10660.0431518826. The cubic root of 113636520 is about 484.3648752376.

The spelling of 113636520 in words is "one hundred thirteen million, six hundred thirty-six thousand, five hundred twenty".