137438954957 has 2 divisors, whose sum is σ = 137438954958. Its totient is φ = 137438954956.

The previous prime is 137438954929. The next prime is 137438954963. The reversal of 137438954957 is 759459834731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114280506916 + 23158448041 = 338054^2 + 152179^2 .

It is a cyclic number.

It is not a de Polignac number, because 137438954957 - 2⁶ = 137438954893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137438954893 and 137438954902.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137438954977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68719477478 + 68719477479.

It is an arithmetic number, because the mean of its divisors is an integer number (68719477479).

Almost surely, 2^137438954957 is an apocalyptic number.

It is an amenable number.

137438954957 is a deficient number, since it is larger than the sum of its proper divisors (1).

137438954957 is an equidigital number, since it uses as much as digits as its factorization.

137438954957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 114307200, while the sum is 65.

The spelling of 137438954957 in words is "one hundred thirty-seven billion, four hundred thirty-eight million, nine hundred fifty-four thousand, nine hundred fifty-seven".