137457097 has 2 divisors, whose sum is σ = 137457098. Its totient is φ = 137457096.

The previous prime is 137457083. The next prime is 137457107. The reversal of 137457097 is 790754731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81072016 + 56385081 = 9004^2 + 7509^2 .

It is a cyclic number.

It is not a de Polignac number, because 137457097 - 2¹¹ = 137455049 is a prime.

It is not a weakly prime, because it can be changed into another prime (137457797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68728548 + 68728549.

It is an arithmetic number, because the mean of its divisors is an integer number (68728549).

Almost surely, 2^137457097 is an apocalyptic number.

It is an amenable number.

137457097 is a deficient number, since it is larger than the sum of its proper divisors (1).

137457097 is an equidigital number, since it uses as much as digits as its factorization.

137457097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 185220, while the sum is 43.

The square root of 137457097 is about 11724.2098667671. The cubic root of 137457097 is about 516.0863698241.

The spelling of 137457097 in words is "one hundred thirty-seven million, four hundred fifty-seven thousand, ninety-seven".