13681137 has 16 divisors (see below), whose sum is σ = 18970112. Its totient is φ = 8760960.

The previous prime is 13681117. The next prime is 13681163. The reversal of 13681137 is 73118631.

It is not a de Polignac number, because 13681137 - 2¹⁰ = 13680113 is a prime.

It is a super-2 number, since 2×13681137² = 374347019225538, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13681117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14133 + ... + 15069.

It is an arithmetic number, because the mean of its divisors is an integer number (1185632).

Almost surely, 2^13681137 is an apocalyptic number.

It is an amenable number.

13681137 is a deficient number, since it is larger than the sum of its proper divisors (5288975).

13681137 is a wasteful number, since it uses less digits than its factorization.

13681137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128.

The product of its digits is 3024, while the sum is 30.

The square root of 13681137 is about 3698.8021033843. The cubic root of 13681137 is about 239.1703820575.

Adding to 13681137 its reverse (73118631), we get a palindrome (86799768).

The spelling of 13681137 in words is "thirteen million, six hundred eighty-one thousand, one hundred thirty-seven".