137272873 has 2 divisors, whose sum is σ = 137272874. Its totient is φ = 137272872.

The previous prime is 137272847. The next prime is 137272897. The reversal of 137272873 is 378272731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137053849 + 219024 = 11707^2 + 468^2 .

It is an emirp because it is prime and its reverse (378272731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137272873 - 2²⁵ = 103718441 is a prime.

It is not a weakly prime, because it can be changed into another prime (137272823) 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, 68636436 + 68636437.

It is an arithmetic number, because the mean of its divisors is an integer number (68636437).

Almost surely, 2^137272873 is an apocalyptic number.

It is an amenable number.

137272873 is a deficient number, since it is larger than the sum of its proper divisors (1).

137272873 is an equidigital number, since it uses as much as digits as its factorization.

137272873 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 98784, while the sum is 40.

The square root of 137272873 is about 11716.3506690437. The cubic root of 137272873 is about 515.8557087586.

The spelling of 137272873 in words is "one hundred thirty-seven million, two hundred seventy-two thousand, eight hundred seventy-three".