137757457 has 2 divisors, whose sum is σ = 137757458. Its totient is φ = 137757456.

The previous prime is 137757407. The next prime is 137757461. The reversal of 137757457 is 754757731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126360081 + 11397376 = 11241^2 + 3376^2 .

It is a cyclic number.

It is not a de Polignac number, because 137757457 - 2¹⁵ = 137724689 is a prime.

It is not a weakly prime, because it can be changed into another prime (137757407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68878728 + 68878729.

It is an arithmetic number, because the mean of its divisors is an integer number (68878729).

Almost surely, 2^137757457 is an apocalyptic number.

It is an amenable number.

137757457 is a deficient number, since it is larger than the sum of its proper divisors (1).

137757457 is an equidigital number, since it uses as much as digits as its factorization.

137757457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 720300, while the sum is 46.

The square root of 137757457 is about 11737.0122688868. The cubic root of 137757457 is about 516.4619995927.

The spelling of 137757457 in words is "one hundred thirty-seven million, seven hundred fifty-seven thousand, four hundred fifty-seven".