137415137 has 4 divisors (see below), whose sum is σ = 142153620. Its totient is φ = 132676656.

The previous prime is 137415017. The next prime is 137415181. The reversal of 137415137 is 731514731.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 731514731 = 1637 ⋅446863.

It can be written as a sum of positive squares in 2 ways, for example, as 88190881 + 49224256 = 9391^2 + 7016^2 .

It is a cyclic number.

It is not a de Polignac number, because 137415137 - 2⁸ = 137414881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137415197) 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 3 ways as a sum of consecutive naturals, for example, 2369198 + ... + 2369255.

It is an arithmetic number, because the mean of its divisors is an integer number (35538405).

Almost surely, 2^137415137 is an apocalyptic number.

It is an amenable number.

137415137 is a deficient number, since it is larger than the sum of its proper divisors (4738483).

137415137 is an equidigital number, since it uses as much as digits as its factorization.

137415137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4738482.

The product of its digits is 8820, while the sum is 32.

The square root of 137415137 is about 11722.4202705755. The cubic root of 137415137 is about 516.0338511634.

Adding to 137415137 its reverse (731514731), we get a palindrome (868929868).

The spelling of 137415137 in words is "one hundred thirty-seven million, four hundred fifteen thousand, one hundred thirty-seven".