13138368 has 56 divisors (see below), whose sum is σ = 35631120. Its totient is φ = 4270080.

The previous prime is 13138357. The next prime is 13138369. The reversal of 13138368 is 86383131.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13138369) 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, 7038 + ... + 8706.

It is an arithmetic number, because the mean of its divisors is an integer number (636270).

Almost surely, 2^13138368 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 13138368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17815560).

13138368 is an abundant number, since it is smaller than the sum of its proper divisors (22492752).

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

13138368 is a wasteful number, since it uses less digits than its factorization.

13138368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1715 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 13138368 is about 3624.6886762866. The cubic root of 13138368 is about 235.9647558209.

The spelling of 13138368 in words is "thirteen million, one hundred thirty-eight thousand, three hundred sixty-eight".