137345823115177 has 2 divisors, whose sum is σ = 137345823115178. Its totient is φ = 137345823115176.

The previous prime is 137345823115099. The next prime is 137345823115213. The reversal of 137345823115177 is 771511328543731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87082416585616 + 50263406529561 = 9331796^2 + 7089669^2 .

It is a cyclic number.

It is not a de Polignac number, because 137345823115177 - 2¹⁵ = 137345823082409 is a prime.

It is not a weakly prime, because it can be changed into another prime (137345823115477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68672911557588 + 68672911557589.

It is an arithmetic number, because the mean of its divisors is an integer number (68672911557589).

Almost surely, 2^{137345823115177} is an apocalyptic number.

It is an amenable number.

137345823115177 is a deficient number, since it is larger than the sum of its proper divisors (1).

137345823115177 is an equidigital number, since it uses as much as digits as its factorization.

137345823115177 is an evil number, because the sum of its binary digits is even.

The product of its digits is 14817600, while the sum is 58.

The spelling of 137345823115177 in words is "one hundred thirty-seven trillion, three hundred forty-five billion, eight hundred twenty-three million, one hundred fifteen thousand, one hundred seventy-seven".