14137 has 4 divisors (see below), whose sum is σ = 14416. Its totient is φ = 13860.

The previous prime is 14107. The next prime is 14143. The reversal of 14137 is 73141.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 14137 - 2⁷ = 14009 is a prime.

It is a Duffinian number.

14137 is a lucky number.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 14137.

It is not an unprimeable number, because it can be changed into a prime (14107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39 + ... + 172.

It is an arithmetic number, because the mean of its divisors is an integer number (3604).

2¹⁴¹³⁷ is an apocalyptic number.

It is an amenable number.

14137 is a deficient number, since it is larger than the sum of its proper divisors (279).

14137 is an equidigital number, since it uses as much as digits as its factorization.

14137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278.

The product of its digits is 84, while the sum is 16.

The square root of 14137 is about 118.8991169017. The cubic root of 14137 is about 24.1797841325.

Adding to 14137 its reverse (73141), we get a palindrome (87278).

It can be divided in two parts, 14 and 137, that added together give a palindrome (151).

The spelling of 14137 in words is "fourteen thousand, one hundred thirty-seven".