13138164 has 72 divisors (see below), whose sum is σ = 36385440. Its totient is φ = 3972672.

The previous prime is 13138159. The next prime is 13138183. The reversal of 13138164 is 46183131.

13138164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13138164² = 345222706581792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31147 + ... + 31565.

Almost surely, 2^13138164 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 13138164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18192720).

13138164 is an abundant number, since it is smaller than the sum of its proper divisors (23247276).

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

13138164 is a wasteful number, since it uses less digits than its factorization.

13138164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 504 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 13138164 is about 3624.6605358295. The cubic root of 13138164 is about 235.9635345363.

The spelling of 13138164 in words is "thirteen million, one hundred thirty-eight thousand, one hundred sixty-four".