137505857 has 2 divisors, whose sum is σ = 137505858. Its totient is φ = 137505856.

The previous prime is 137505839. The next prime is 137505859. The reversal of 137505857 is 758505731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90706576 + 46799281 = 9524^2 + 6841^2 .

It is a cyclic number.

It is not a de Polignac number, because 137505857 - 2⁸ = 137505601 is a prime.

Together with 137505859, 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 (137505859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68752928 + 68752929.

It is an arithmetic number, because the mean of its divisors is an integer number (68752929).

Almost surely, 2^137505857 is an apocalyptic number.

It is an amenable number.

137505857 is a deficient number, since it is larger than the sum of its proper divisors (1).

137505857 is an equidigital number, since it uses as much as digits as its factorization.

137505857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 147000, while the sum is 41.

The square root of 137505857 is about 11726.2891402182. The cubic root of 137505857 is about 516.1473861873.

The spelling of 137505857 in words is "one hundred thirty-seven million, five hundred five thousand, eight hundred fifty-seven".