13606137 has 40 divisors (see below), whose sum is σ = 22137192. Its totient is φ = 8294400.

The previous prime is 13606123. The next prime is 13606139. The reversal of 13606137 is 73160631.

It can be written as a sum of positive squares in 4 ways, for example, as 1971216 + 11634921 = 1404^2 + 3411^2 .

It is not a de Polignac number, because 13606137 - 2⁷ = 13606009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13606137.

It is not an unprimeable number, because it can be changed into a prime (13606139) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56337 + ... + 56577.

Almost surely, 2^13606137 is an apocalyptic number.

13606137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13606137 is a deficient number, since it is larger than the sum of its proper divisors (8531055).

13606137 is a wasteful number, since it uses less digits than its factorization.

13606137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 13606137 is about 3688.6497529584. The cubic root of 13606137 is about 238.7325369390.

Adding to 13606137 its reverse (73160631), we get a palindrome (86766768).

The spelling of 13606137 in words is "thirteen million, six hundred six thousand, one hundred thirty-seven".