13656415136 has 192 divisors, whose sum is σ = 34246437120. Its totient is φ = 5216624640.

The previous prime is 13656415127. The next prime is 13656415181. The reversal of 13656415136 is 63151465631.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 13656415093 and 13656415102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12774410 + ... + 12775478.

It is an arithmetic number, because the mean of its divisors is an integer number (178366860).

Almost surely, 2^13656415136 is an apocalyptic number.

13656415136 is a gapful number since it is divisible by the number (16) 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 13656415136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17123218560).

13656415136 is an abundant number, since it is smaller than the sum of its proper divisors (20590021984).

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

13656415136 is a wasteful number, since it uses less digits than its factorization.

13656415136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1239 counting only the distinct ones).

The product of its digits is 194400, while the sum is 41.

The spelling of 13656415136 in words is "thirteen billion, six hundred fifty-six million, four hundred fifteen thousand, one hundred thirty-six".