137261345740657 has 2 divisors, whose sum is σ = 137261345740658. Its totient is φ = 137261345740656.

The previous prime is 137261345740621. The next prime is 137261345740669. The reversal of 137261345740657 is 756047543162731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126554602623201 + 10706743117456 = 11249649^2 + 3272116^2 .

It is an emirp because it is prime and its reverse (756047543162731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137261345740657 - 2²³ = 137261337352049 is a prime.

It is a super-4 number, since 4×137261345740657⁴ (a number of 58 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137261345740595 and 137261345740604.

It is not a weakly prime, because it can be changed into another prime (137261345740957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68630672870328 + 68630672870329.

It is an arithmetic number, because the mean of its divisors is an integer number (68630672870329).

Almost surely, 2^{137261345740657} is an apocalyptic number.

It is an amenable number.

137261345740657 is a deficient number, since it is larger than the sum of its proper divisors (1).

137261345740657 is an equidigital number, since it uses as much as digits as its factorization.

137261345740657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 88905600, while the sum is 61.

The spelling of 137261345740657 in words is "one hundred thirty-seven trillion, two hundred sixty-one billion, three hundred forty-five million, seven hundred forty thousand, six hundred fifty-seven".