15137 has 2 divisors, whose sum is σ = 15138. Its totient is φ = 15136.

The previous prime is 15131. The next prime is 15139. The reversal of 15137 is 73151.

15137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13456 + 1681 = 116^2 + 41^2 .

It is a cyclic number.

It is not a de Polignac number, because 15137 - 2⁴ = 15121 is a prime.

Together with 15139, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 15137.

It is not a weakly prime, because it can be changed into another prime (15131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7568 + 7569.

It is an arithmetic number, because the mean of its divisors is an integer number (7569).

2¹⁵¹³⁷ is an apocalyptic number.

It is an amenable number.

15137 is a deficient number, since it is larger than the sum of its proper divisors (1).

15137 is an equidigital number, since it uses as much as digits as its factorization.

15137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 105, while the sum is 17.

The square root of 15137 is about 123.0325160273. The cubic root of 15137 is about 24.7369757683.

Adding to 15137 its reverse (73151), we get a palindrome (88288).

The spelling of 15137 in words is "fifteen thousand, one hundred thirty-seven".