137261345740656 has 40 divisors (see below), whose sum is σ = 356641473492240. Its totient is φ = 45489309182976.

The previous prime is 137261345740621. The next prime is 137261345740657. The reversal of 137261345740656 is 656047543162731.

It is a super-4 number, since 4×137261345740656⁴ (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 137261345740656.

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 7 ways as a sum of consecutive naturals, for example, 8264764441 + ... + 8264781048.

It is an arithmetic number, because the mean of its divisors is an integer number (8916036837306).

Almost surely, 2^{137261345740656} is an apocalyptic number.

137261345740656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137261345740656 is an abundant number, since it is smaller than the sum of its proper divisors (219380127751584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137261345740656 is a wasteful number, since it uses less digits than its factorization.

137261345740656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16529545673 (or 16529545667 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 60.

The spelling of 137261345740656 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-six".