137710481965127 has 2 divisors, whose sum is σ = 137710481965128. Its totient is φ = 137710481965126.

The previous prime is 137710481965081. The next prime is 137710481965157. The reversal of 137710481965127 is 721569184017731.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 137710481965127 - 2⁸ = 137710481964871 is a prime.

It is a super-2 number, since 2×137710481965127² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137710481965127.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137710481965157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68855240982563 + 68855240982564.

It is an arithmetic number, because the mean of its divisors is an integer number (68855240982564).

It is a 1-persistent number, because it is pandigital, but 2⋅137710481965127 = 275420963930254 is not.

Almost surely, 2^{137710481965127} is an apocalyptic number.

137710481965127 is a deficient number, since it is larger than the sum of its proper divisors (1).

137710481965127 is an equidigital number, since it uses as much as digits as its factorization.

137710481965127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17781120, while the sum is 62.

The spelling of 137710481965127 in words is "one hundred thirty-seven trillion, seven hundred ten billion, four hundred eighty-one million, nine hundred sixty-five thousand, one hundred twenty-seven".