13681136 has 80 divisors (see below), whose sum is σ = 32569344. Its totient is φ = 5440512.

The previous prime is 13681117. The next prime is 13681163. The reversal of 13681136 is 63118631.

It is a junction number, because it is equal to n+sod(n) for n = 13681099 and 13681108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121016 + ... + 121128.

Almost surely, 2^13681136 is an apocalyptic number.

13681136 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 13681136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16284672).

13681136 is an abundant number, since it is smaller than the sum of its proper divisors (18888208).

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

13681136 is a wasteful number, since it uses less digits than its factorization.

13681136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 192 counting only the distinct ones).

The product of its digits is 2592, while the sum is 29.

The square root of 13681136 is about 3698.8019682054. The cubic root of 13681136 is about 239.1703762302.

Adding to 13681136 its reverse (63118631), we get a palindrome (76799767).

The spelling of 13681136 in words is "thirteen million, six hundred eighty-one thousand, one hundred thirty-six".