13768147136 has 56 divisors (see below), whose sum is σ = 28957987296. Its totient is φ = 6472478720.

The previous prime is 13768147121. The next prime is 13768147171. The reversal of 13768147136 is 63174186731.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1148405 + ... + 1160331.

It is an arithmetic number, because the mean of its divisors is an integer number (517106916).

Almost surely, 2^13768147136 is an apocalyptic number.

13768147136 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 13768147136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478993648).

13768147136 is an abundant number, since it is smaller than the sum of its proper divisors (15189840160).

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

13768147136 is a wasteful number, since it uses less digits than its factorization.

13768147136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13017 (or 13007 counting only the distinct ones).

The product of its digits is 508032, while the sum is 47.

The spelling of 13768147136 in words is "thirteen billion, seven hundred sixty-eight million, one hundred forty-seven thousand, one hundred thirty-six".