13136328 has 48 divisors (see below), whose sum is σ = 36413520. Its totient is φ = 4275936.

The previous prime is 13136323. The next prime is 13136339. The reversal of 13136328 is 82363131.

It is a happy number.

13136328 is a `hidden beast` number, since 13 + 13 + 632 + 8 = 666.

It is a super-2 number, since 2×13136328² = 345126226647168, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13136323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 975 + ... + 5217.

It is an arithmetic number, because the mean of its divisors is an integer number (758615).

Almost surely, 2^13136328 is an apocalyptic number.

13136328 is a gapful number since it is divisible by the number (18) 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 13136328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18206760).

13136328 is an abundant number, since it is smaller than the sum of its proper divisors (23277192).

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

13136328 is a wasteful number, since it uses less digits than its factorization.

13136328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4298 (or 4291 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 13136328 is about 3624.4072618843. The cubic root of 13136328 is about 235.9525424060.

Adding to 13136328 its reverse (82363131), we get a palindrome (95499459).

The spelling of 13136328 in words is "thirteen million, one hundred thirty-six thousand, three hundred twenty-eight".