137273 has 2 divisors, whose sum is σ = 137274. Its totient is φ = 137272.

The previous prime is 137251. The next prime is 137279. The reversal of 137273 is 372731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 135424 + 1849 = 368^2 + 43^2 .

It is a cyclic number.

It is not a de Polignac number, because 137273 - 2⁶ = 137209 is a prime.

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is not a weakly prime, because it can be changed into another prime (137279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68636 + 68637.

It is an arithmetic number, because the mean of its divisors is an integer number (68637).

2¹³⁷²⁷³ is an apocalyptic number.

It is an amenable number.

137273 is a deficient number, since it is larger than the sum of its proper divisors (1).

137273 is an equidigital number, since it uses as much as digits as its factorization.

137273 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 882, while the sum is 23.

The square root of 137273 is about 370.5037111825. The cubic root of 137273 is about 51.5855867842.

It can be divided in two parts, 137 and 273, that multiplied together give a triangular number (37401 = T₂₇₃).

The spelling of 137273 in words is "one hundred thirty-seven thousand, two hundred seventy-three".