13379136 has 56 divisors (see below), whose sum is σ = 37490400. Its totient is φ = 4196352.

The previous prime is 13379131. The next prime is 13379143. The reversal of 13379136 is 63197331.

It is a junction number, because it is equal to n+sod(n) for n = 13379097 and 13379106.

It is not an unprimeable number, because it can be changed into a prime (13379131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1215 + ... + 5313.

Almost surely, 2^13379136 is an apocalyptic number.

13379136 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 13379136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18745200).

13379136 is an abundant number, since it is smaller than the sum of its proper divisors (24111264).

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

13379136 is a wasteful number, since it uses less digits than its factorization.

13379136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4131 (or 4121 counting only the distinct ones).

The product of its digits is 10206, while the sum is 33.

The square root of 13379136 is about 3657.7501281526. The cubic root of 13379136 is about 237.3974353074.

The spelling of 13379136 in words is "thirteen million, three hundred seventy-nine thousand, one hundred thirty-six".