137917457 has 2 divisors, whose sum is σ = 137917458. Its totient is φ = 137917456.

The previous prime is 137917427. The next prime is 137917459. The reversal of 137917457 is 754719731.

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., 113720896 + 24196561 = 10664^2 + 4919^2 .

It is a cyclic number.

It is not a de Polignac number, because 137917457 - 2¹⁴ = 137901073 is a prime.

Together with 137917459, 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 (137917459) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68958728 + 68958729.

It is an arithmetic number, because the mean of its divisors is an integer number (68958729).

Almost surely, 2^137917457 is an apocalyptic number.

It is an amenable number.

137917457 is a deficient number, since it is larger than the sum of its proper divisors (1).

137917457 is an equidigital number, since it uses as much as digits as its factorization.

137917457 is an evil number, because the sum of its binary digits is even.

The product of its digits is 185220, while the sum is 44.

The square root of 137917457 is about 11743.8263355688. The cubic root of 137917457 is about 516.6618724957.

The spelling of 137917457 in words is "one hundred thirty-seven million, nine hundred seventeen thousand, four hundred fifty-seven".