137261345740757 has 12 divisors (see below), whose sum is σ = 160728787614816. Its totient is φ = 116873425884600.

The previous prime is 137261345740723. The next prime is 137261345740837. The reversal of 137261345740757 is 757047543162731.

It is a happy number.

It is not a de Polignac number, because 137261345740757 - 2²² = 137261341546453 is a prime.

It is a super-4 number, since 4×137261345740757⁴ (a number of 58 digits) contains 4444 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137261345740757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137261345740657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9275661323 + ... + 9275676120.

It is an arithmetic number, because the mean of its divisors is an integer number (13394065634568).

Almost surely, 2^{137261345740757} is an apocalyptic number.

It is an amenable number.

137261345740757 is a deficient number, since it is larger than the sum of its proper divisors (23467441874059).

137261345740757 is a wasteful number, since it uses less digits than its factorization.

137261345740757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18551337608 (or 18551337601 counting only the distinct ones).

The product of its (nonzero) digits is 103723200, while the sum is 62.

The spelling of 137261345740757 in words is "one hundred thirty-seven trillion, two hundred sixty-one billion, three hundred forty-five million, seven hundred forty thousand, seven hundred fifty-seven".