13685675136 has 128 divisors (see below), whose sum is σ = 42166440960. Its totient is φ = 3851781120.

The previous prime is 13685675117. The next prime is 13685675137. The reversal of 13685675136 is 63157658631.

It is a happy number.

13685675136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (13685675137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142101 + ... + 218091.

It is an arithmetic number, because the mean of its divisors is an integer number (329425320).

Almost surely, 2^13685675136 is an apocalyptic number.

13685675136 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 13685675136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21083220480).

13685675136 is an abundant number, since it is smaller than the sum of its proper divisors (28480765824).

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

13685675136 is an equidigital number, since it uses as much as digits as its factorization.

13685675136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76082 (or 76070 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 51.

The spelling of 13685675136 in words is "thirteen billion, six hundred eighty-five million, six hundred seventy-five thousand, one hundred thirty-six".