137344325317517 has 2 divisors, whose sum is σ = 137344325317518. Its totient is φ = 137344325317516.

The previous prime is 137344325317489. The next prime is 137344325317543. The reversal of 137344325317517 is 715713523443731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94374346905316 + 42969978412201 = 9714646^2 + 6555149^2 .

It is a cyclic number.

It is not a de Polignac number, because 137344325317517 - 2¹⁰ = 137344325316493 is a prime.

It is a super-4 number, since 4×137344325317517⁴ (a number of 58 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137344325317597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68672162658758 + 68672162658759.

It is an arithmetic number, because the mean of its divisors is an integer number (68672162658759).

Almost surely, 2^{137344325317517} is an apocalyptic number.

It is an amenable number.

137344325317517 is a deficient number, since it is larger than the sum of its proper divisors (1).

137344325317517 is an equidigital number, since it uses as much as digits as its factorization.

137344325317517 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22226400, while the sum is 56.

The spelling of 137344325317517 in words is "one hundred thirty-seven trillion, three hundred forty-four billion, three hundred twenty-five million, three hundred seventeen thousand, five hundred seventeen".