137065273 has 2 divisors, whose sum is σ = 137065274. Its totient is φ = 137065272.

The previous prime is 137065241. The next prime is 137065283. The reversal of 137065273 is 372560731.

137065273 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., 125148969 + 11916304 = 11187^2 + 3452^2 .

It is a cyclic number.

It is not a de Polignac number, because 137065273 - 2⁵ = 137065241 is a prime.

It is not a weakly prime, because it can be changed into another prime (137065283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68532636 + 68532637.

It is an arithmetic number, because the mean of its divisors is an integer number (68532637).

Almost surely, 2^137065273 is an apocalyptic number.

It is an amenable number.

137065273 is a deficient number, since it is larger than the sum of its proper divisors (1).

137065273 is an equidigital number, since it uses as much as digits as its factorization.

137065273 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 26460, while the sum is 34.

The square root of 137065273 is about 11707.4879030473. The cubic root of 137065273 is about 515.5955318966.

The spelling of 137065273 in words is "one hundred thirty-seven million, sixty-five thousand, two hundred seventy-three".