13375136 has 48 divisors (see below), whose sum is σ = 27659520. Its totient is φ = 6359040.

The previous prime is 13375129. The next prime is 13375139. The reversal of 13375136 is 63157331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13375099 and 13375108.

It is not an unprimeable number, because it can be changed into a prime (13375139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96155 + ... + 96293.

It is an arithmetic number, because the mean of its divisors is an integer number (576240).

Almost surely, 2^13375136 is an apocalyptic number.

13375136 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 13375136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13829760).

13375136 is an abundant number, since it is smaller than the sum of its proper divisors (14284384).

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

13375136 is a wasteful number, since it uses less digits than its factorization.

13375136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 269 counting only the distinct ones).

The product of its digits is 5670, while the sum is 29.

The square root of 13375136 is about 3657.2033030719. The cubic root of 13375136 is about 237.3737744773.

The spelling of 13375136 in words is "thirteen million, three hundred seventy-five thousand, one hundred thirty-six".