137253257209 has 2 divisors, whose sum is σ = 137253257210. Its totient is φ = 137253257208.

The previous prime is 137253257161. The next prime is 137253257269. The reversal of 137253257209 is 902752352731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84722909184 + 52530348025 = 291072^2 + 229195^2 .

It is a cyclic number.

It is not a de Polignac number, because 137253257209 - 2¹⁷ = 137253126137 is a prime.

It is a super-2 number, since 2×137253257209² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (137253257269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68626628604 + 68626628605.

It is an arithmetic number, because the mean of its divisors is an integer number (68626628605).

Almost surely, 2^137253257209 is an apocalyptic number.

It is an amenable number.

137253257209 is a deficient number, since it is larger than the sum of its proper divisors (1).

137253257209 is an equidigital number, since it uses as much as digits as its factorization.

137253257209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 793800, while the sum is 46.

The spelling of 137253257209 in words is "one hundred thirty-seven billion, two hundred fifty-three million, two hundred fifty-seven thousand, two hundred nine".