13137696 has 216 divisors, whose sum is σ = 45749340. Its totient is φ = 3548160.

The previous prime is 13137689. The next prime is 13137727. The reversal of 13137696 is 69673131.

It can be written as a sum of positive squares in 2 ways, for example, as 12702096 + 435600 = 3564^2 + 660^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13137696.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 453010 + ... + 453038.

Almost surely, 2^13137696 is an apocalyptic number.

13137696 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 13137696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22874670).

13137696 is an abundant number, since it is smaller than the sum of its proper divisors (32611644).

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

13137696 is a wasteful number, since it uses less digits than its factorization.

13137696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 58 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 13137696 is about 3624.5959774849. The cubic root of 13137696 is about 235.9607327180.

It can be divided in two parts, 1313 and 7696, that added together give a palindrome (9009).

The spelling of 13137696 in words is "thirteen million, one hundred thirty-seven thousand, six hundred ninety-six".