137508264574897 has 2 divisors, whose sum is σ = 137508264574898. Its totient is φ = 137508264574896.

The previous prime is 137508264574871. The next prime is 137508264574921. The reversal of 137508264574897 is 798475462805731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130462632256576 + 7045632318321 = 11422024^2 + 2654361^2 .

It is a cyclic number.

It is not a de Polignac number, because 137508264574897 - 2¹¹ = 137508264572849 is a prime.

It is not a weakly prime, because it can be changed into another prime (137508261574897) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68754132287448 + 68754132287449.

It is an arithmetic number, because the mean of its divisors is an integer number (68754132287449).

It is a 1-persistent number, because it is pandigital, but 2⋅137508264574897 = 275016529149794 is not.

Almost surely, 2^{137508264574897} is an apocalyptic number.

It is an amenable number.

137508264574897 is a deficient number, since it is larger than the sum of its proper divisors (1).

137508264574897 is an equidigital number, since it uses as much as digits as its factorization.

137508264574897 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2844979200, while the sum is 76.

The spelling of 137508264574897 in words is "one hundred thirty-seven trillion, five hundred eight billion, two hundred sixty-four million, five hundred seventy-four thousand, eight hundred ninety-seven".