137804257 has 2 divisors, whose sum is σ = 137804258. Its totient is φ = 137804256.

The previous prime is 137804221. The next prime is 137804267. The reversal of 137804257 is 752408731.

137804257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125350416 + 12453841 = 11196^2 + 3529^2 .

It is a cyclic number.

It is not a de Polignac number, because 137804257 - 2¹¹ = 137802209 is a prime.

It is not a weakly prime, because it can be changed into another prime (137804267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68902128 + 68902129.

It is an arithmetic number, because the mean of its divisors is an integer number (68902129).

Almost surely, 2^137804257 is an apocalyptic number.

It is an amenable number.

137804257 is a deficient number, since it is larger than the sum of its proper divisors (1).

137804257 is an equidigital number, since it uses as much as digits as its factorization.

137804257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 137804257 is about 11739.0057926555. The cubic root of 137804257 is about 516.5204784233.

The spelling of 137804257 in words is "one hundred thirty-seven million, eight hundred four thousand, two hundred fifty-seven".