137257361 has 2 divisors, whose sum is σ = 137257362. Its totient is φ = 137257360.

The previous prime is 137257327. The next prime is 137257363. The reversal of 137257361 is 163752731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74926336 + 62331025 = 8656^2 + 7895^2 .

It is a cyclic number.

It is not a de Polignac number, because 137257361 - 2²² = 133063057 is a prime.

Together with 137257363, 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 (137257363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68628680 + 68628681.

It is an arithmetic number, because the mean of its divisors is an integer number (68628681).

Almost surely, 2^137257361 is an apocalyptic number.

It is an amenable number.

137257361 is a deficient number, since it is larger than the sum of its proper divisors (1).

137257361 is an equidigital number, since it uses as much as digits as its factorization.

137257361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26460, while the sum is 35.

The square root of 137257361 is about 11715.6886694722. The cubic root of 137257361 is about 515.8362772545.

The spelling of 137257361 in words is "one hundred thirty-seven million, two hundred fifty-seven thousand, three hundred sixty-one".