13624820136 has 160 divisors (see below), whose sum is σ = 41801265000. Its totient is φ = 4126961664.

The previous prime is 13624820113. The next prime is 13624820149. The reversal of 13624820136 is 63102842631.

13624820136 is a `hidden beast` number, since 1 + 3 + 624 + 8 + 20 + 1 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13208904900 + 415915236 = 114930^2 + 20394^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 13624820136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 298140 + ... + 340788.

Almost surely, 2^13624820136 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 13624820136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20900632500).

13624820136 is an abundant number, since it is smaller than the sum of its proper divisors (28176444864).

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

13624820136 is a wasteful number, since it uses less digits than its factorization.

13624820136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42713 (or 42700 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 13624820136 in words is "thirteen billion, six hundred twenty-four million, eight hundred twenty thousand, one hundred thirty-six".