137438954897 has 2 divisors, whose sum is σ = 137438954898. Its totient is φ = 137438954896.

The previous prime is 137438954893. The next prime is 137438954899. The reversal of 137438954897 is 798459834731.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136394307856 + 1044647041 = 369316^2 + 32321^2 .

It is a cyclic number.

It is not a de Polignac number, because 137438954897 - 2² = 137438954893 is a prime.

Together with 137438954899, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137438954893) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68719477448 + 68719477449.

It is an arithmetic number, because the mean of its divisors is an integer number (68719477449).

Almost surely, 2^137438954897 is an apocalyptic number.

It is an amenable number.

137438954897 is a deficient number, since it is larger than the sum of its proper divisors (1).

137438954897 is an equidigital number, since it uses as much as digits as its factorization.

137438954897 is an evil number, because the sum of its binary digits is even.

The product of its digits is 182891520, while the sum is 68.

The spelling of 137438954897 in words is "one hundred thirty-seven billion, four hundred thirty-eight million, nine hundred fifty-four thousand, eight hundred ninety-seven".