137491457 has 2 divisors, whose sum is σ = 137491458. Its totient is φ = 137491456.

The previous prime is 137491441. The next prime is 137491537. The reversal of 137491457 is 754194731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 131997121 + 5494336 = 11489^2 + 2344^2 .

It is a cyclic number.

It is not a de Polignac number, because 137491457 - 2⁴ = 137491441 is a prime.

It is equal to p_7778480 and since 137491457 and 7778480 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (137491957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68745728 + 68745729.

It is an arithmetic number, because the mean of its divisors is an integer number (68745729).

Almost surely, 2^137491457 is an apocalyptic number.

It is an amenable number.

137491457 is a deficient number, since it is larger than the sum of its proper divisors (1).

137491457 is an equidigital number, since it uses as much as digits as its factorization.

137491457 is an evil number, because the sum of its binary digits is even.

The product of its digits is 105840, while the sum is 41.

The square root of 137491457 is about 11725.6751191563. The cubic root of 137491457 is about 516.1293680898.

The spelling of 137491457 in words is "one hundred thirty-seven million, four hundred ninety-one thousand, four hundred fifty-seven".