137023613 has 2 divisors, whose sum is σ = 137023614. Its totient is φ = 137023612.

The previous prime is 137023577. The next prime is 137023619. The reversal of 137023613 is 316320731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94225849 + 42797764 = 9707^2 + 6542^2 .

It is an emirp because it is prime and its reverse (316320731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137023613 - 2¹² = 137019517 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137023619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68511806 + 68511807.

It is an arithmetic number, because the mean of its divisors is an integer number (68511807).

Almost surely, 2^137023613 is an apocalyptic number.

It is an amenable number.

137023613 is a deficient number, since it is larger than the sum of its proper divisors (1).

137023613 is an equidigital number, since it uses as much as digits as its factorization.

137023613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 26.

The square root of 137023613 is about 11705.7085646278. The cubic root of 137023613 is about 515.5432894237.

The spelling of 137023613 in words is "one hundred thirty-seven million, twenty-three thousand, six hundred thirteen".