13138688 has 36 divisors (see below), whose sum is σ = 27777960. Its totient is φ = 6180864.

The previous prime is 13138687. The next prime is 13138703. The reversal of 13138688 is 88683131.

It is a super-2 number, since 2×13138688² = 345250244722688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13138687) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2843 + ... + 5861.

It is an arithmetic number, because the mean of its divisors is an integer number (771610).

Almost surely, 2^13138688 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 13138688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13888980).

13138688 is an abundant number, since it is smaller than the sum of its proper divisors (14639272).

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

13138688 is an equidigital number, since it uses as much as digits as its factorization.

13138688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052 (or 3038 counting only the distinct ones).

The product of its digits is 27648, while the sum is 38.

The square root of 13138688 is about 3624.7328177398. The cubic root of 13138688 is about 235.9666715360.

It can be divided in two parts, 1313 and 8688, that added together give a palindrome (10001).

The spelling of 13138688 in words is "thirteen million, one hundred thirty-eight thousand, six hundred eighty-eight".