137953457 has 2 divisors, whose sum is σ = 137953458. Its totient is φ = 137953456.

The previous prime is 137953447. The next prime is 137953489. The reversal of 137953457 is 754359731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136515856 + 1437601 = 11684^2 + 1199^2 .

It is a cyclic number.

It is not a de Polignac number, because 137953457 - 2⁶ = 137953393 is a prime.

It is not a weakly prime, because it can be changed into another prime (137953447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68976728 + 68976729.

It is an arithmetic number, because the mean of its divisors is an integer number (68976729).

Almost surely, 2^137953457 is an apocalyptic number.

It is an amenable number.

137953457 is a deficient number, since it is larger than the sum of its proper divisors (1).

137953457 is an equidigital number, since it uses as much as digits as its factorization.

137953457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 396900, while the sum is 44.

The square root of 137953457 is about 11745.3589557748. The cubic root of 137953457 is about 516.7068225929.

The spelling of 137953457 in words is "one hundred thirty-seven million, nine hundred fifty-three thousand, four hundred fifty-seven".