137518613 has 2 divisors, whose sum is σ = 137518614. Its totient is φ = 137518612.

The previous prime is 137518567. The next prime is 137518621. The reversal of 137518613 is 316815731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121374289 + 16144324 = 11017^2 + 4018^2 .

It is a cyclic number.

It is not a de Polignac number, because 137518613 - 2¹⁴ = 137502229 is a prime.

It is a super-2 number, since 2×137518613² = 37822737842887538, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137518673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68759306 + 68759307.

It is an arithmetic number, because the mean of its divisors is an integer number (68759307).

Almost surely, 2^137518613 is an apocalyptic number.

It is an amenable number.

137518613 is a deficient number, since it is larger than the sum of its proper divisors (1).

137518613 is an equidigital number, since it uses as much as digits as its factorization.

137518613 is an evil number, because the sum of its binary digits is even.

The product of its digits is 15120, while the sum is 35.

The square root of 137518613 is about 11726.8330336882. The cubic root of 137518613 is about 516.1633461680.

The spelling of 137518613 in words is "one hundred thirty-seven million, five hundred eighteen thousand, six hundred thirteen".