137983457 has 2 divisors, whose sum is σ = 137983458. Its totient is φ = 137983456.

The previous prime is 137983451. The next prime is 137983481. The reversal of 137983457 is 754389731.

137983457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 125529616 + 12453841 = 11204^2 + 3529^2 .

It is a cyclic number.

It is not a de Polignac number, because 137983457 - 2⁶ = 137983393 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137983451) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68991728 + 68991729.

It is an arithmetic number, because the mean of its divisors is an integer number (68991729).

Almost surely, 2^137983457 is an apocalyptic number.

It is an amenable number.

137983457 is a deficient number, since it is larger than the sum of its proper divisors (1).

137983457 is an equidigital number, since it uses as much as digits as its factorization.

137983457 is an evil number, because the sum of its binary digits is even.

The product of its digits is 635040, while the sum is 47.

The square root of 137983457 is about 11746.6359865282. The cubic root of 137983457 is about 516.7442750340.

The spelling of 137983457 in words is "one hundred thirty-seven million, nine hundred eighty-three thousand, four hundred fifty-seven".