13136772 has 48 divisors (see below), whose sum is σ = 34900992. Its totient is φ = 3806880.

The previous prime is 13136759. The next prime is 13136779. The reversal of 13136772 is 27763131.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13136779) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 873 + ... + 5199.

It is an arithmetic number, because the mean of its divisors is an integer number (727104).

Almost surely, 2^13136772 is an apocalyptic number.

13136772 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 13136772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17450496).

13136772 is an abundant number, since it is smaller than the sum of its proper divisors (21764220).

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

13136772 is a wasteful number, since it uses less digits than its factorization.

13136772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4368 (or 4366 counting only the distinct ones).

The product of its digits is 5292, while the sum is 30.

The square root of 13136772 is about 3624.4685127616. The cubic root of 13136772 is about 235.9552007275.

The spelling of 13136772 in words is "thirteen million, one hundred thirty-six thousand, seven hundred seventy-two".