13138272 has 180 divisors, whose sum is σ = 45880380. Its totient is φ = 3556224.

The previous prime is 13138261. The next prime is 13138303. The reversal of 13138272 is 27283131.

It is a super-2 number, since 2×13138272² = 345228382291968, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (2016) is a multiple of the sum of its prime factors (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 691479 + ... + 691497.

It is an arithmetic number, because the mean of its divisors is an integer number (254891).

Almost surely, 2^13138272 is an apocalyptic number.

13138272 is a gapful number since it is divisible by the number (12) 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 13138272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22940190).

13138272 is an abundant number, since it is smaller than the sum of its proper divisors (32742108).

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

13138272 is an equidigital number, since it uses as much as digits as its factorization.

13138272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 31 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 13138272 is about 3624.6754337458. The cubic root of 13138272 is about 235.9641811003.

The spelling of 13138272 in words is "thirteen million, one hundred thirty-eight thousand, two hundred seventy-two".