137710481965081 has 2 divisors, whose sum is σ = 137710481965082. Its totient is φ = 137710481965080.

The previous prime is 137710481965051. The next prime is 137710481965127. The reversal of 137710481965081 is 180569184017731.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137149488455056 + 560993510025 = 11711084^2 + 748995^2 .

It is a cyclic number.

It is not a de Polignac number, because 137710481965081 - 2³¹ = 137708334481433 is a prime.

It is a super-2 number, since 2×137710481965081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (137710481965051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68855240982540 + 68855240982541.

It is an arithmetic number, because the mean of its divisors is an integer number (68855240982541).

Almost surely, 2^{137710481965081} is an apocalyptic number.

It is an amenable number.

137710481965081 is a deficient number, since it is larger than the sum of its proper divisors (1).

137710481965081 is an equidigital number, since it uses as much as digits as its factorization.

137710481965081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10160640, while the sum is 61.

The spelling of 137710481965081 in words is "one hundred thirty-seven trillion, seven hundred ten billion, four hundred eighty-one million, nine hundred sixty-five thousand, eighty-one".