137273813 has 2 divisors, whose sum is σ = 137273814. Its totient is φ = 137273812.

The previous prime is 137273789. The next prime is 137273819. The reversal of 137273813 is 318372731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131033809 + 6240004 = 11447^2 + 2498^2 .

It is a cyclic number.

It is not a de Polignac number, because 137273813 - 2⁶ = 137273749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137273819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68636906 + 68636907.

It is an arithmetic number, because the mean of its divisors is an integer number (68636907).

Almost surely, 2^137273813 is an apocalyptic number.

It is an amenable number.

137273813 is a deficient number, since it is larger than the sum of its proper divisors (1).

137273813 is an equidigital number, since it uses as much as digits as its factorization.

137273813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21168, while the sum is 35.

The square root of 137273813 is about 11716.3907838549. The cubic root of 137273813 is about 515.8568862266.

The spelling of 137273813 in words is "one hundred thirty-seven million, two hundred seventy-three thousand, eight hundred thirteen".