13065136 has 80 divisors (see below), whose sum is σ = 30855168. Its totient is φ = 5241600.

The previous prime is 13065131. The next prime is 13065149. The reversal of 13065136 is 63156031.

It is a self number, because there is not a number n which added to its sum of digits gives 13065136.

It is not an unprimeable number, because it can be changed into a prime (13065131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183981 + ... + 184051.

Almost surely, 2^13065136 is an apocalyptic number.

13065136 is a gapful number since it is divisible by the number (16) 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 13065136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427584).

13065136 is an abundant number, since it is smaller than the sum of its proper divisors (17790032).

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

13065136 is a wasteful number, since it uses less digits than its factorization.

13065136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 13065136 is about 3614.5727271698. The cubic root of 13065136 is about 235.5255237744.

The spelling of 13065136 in words is "thirteen million, sixty-five thousand, one hundred thirty-six".