137754440435089 has 2 divisors, whose sum is σ = 137754440435090. Its totient is φ = 137754440435088.

The previous prime is 137754440435063. The next prime is 137754440435123. The reversal of 137754440435089 is 980534044457731.

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., 69225977646225 + 68528462788864 = 8320215^2 + 8278192^2 .

It is a cyclic number.

It is not a de Polignac number, because 137754440435089 - 2²⁹ = 137753903564177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137754440435089.

It is not a weakly prime, because it can be changed into another prime (137754440435189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68877220217544 + 68877220217545.

It is an arithmetic number, because the mean of its divisors is an integer number (68877220217545).

Almost surely, 2^{137754440435089} is an apocalyptic number.

It is an amenable number.

137754440435089 is a deficient number, since it is larger than the sum of its proper divisors (1).

137754440435089 is an equidigital number, since it uses as much as digits as its factorization.

137754440435089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 203212800, while the sum is 64.

The spelling of 137754440435089 in words is "one hundred thirty-seven trillion, seven hundred fifty-four billion, four hundred forty million, four hundred thirty-five thousand, eighty-nine".