137752566097 has 2 divisors, whose sum is σ = 137752566098. Its totient is φ = 137752566096.

The previous prime is 137752566079. The next prime is 137752566103. The reversal of 137752566097 is 790665257731.

Together with previous prime (137752566079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110776474561 + 26976091536 = 332831^2 + 164244^2 .

It is a cyclic number.

It is not a de Polignac number, because 137752566097 - 2¹⁵ = 137752533329 is a prime.

It is not a weakly prime, because it can be changed into another prime (137752566697) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68876283048 + 68876283049.

It is an arithmetic number, because the mean of its divisors is an integer number (68876283049).

Almost surely, 2^137752566097 is an apocalyptic number.

It is an amenable number.

137752566097 is a deficient number, since it is larger than the sum of its proper divisors (1).

137752566097 is an equidigital number, since it uses as much as digits as its factorization.

137752566097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16669800, while the sum is 58.

The spelling of 137752566097 in words is "one hundred thirty-seven billion, seven hundred fifty-two million, five hundred sixty-six thousand, ninety-seven".