137056309 has 16 divisors (see below), whose sum is σ = 149814000. Its totient is φ = 124632576.

The previous prime is 137056279. The next prime is 137056313. The reversal of 137056309 is 903650731.

It can be written as a sum of positive squares in 8 ways, for example, as 680625 + 136375684 = 825^2 + 11678^2 .

It is a cyclic number.

It is not a de Polignac number, because 137056309 - 2¹⁵ = 137023541 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137056319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334897 + ... + 335305.

It is an arithmetic number, because the mean of its divisors is an integer number (9363375).

Almost surely, 2^137056309 is an apocalyptic number.

It is an amenable number.

137056309 is a deficient number, since it is larger than the sum of its proper divisors (12757691).

137056309 is a wasteful number, since it uses less digits than its factorization.

137056309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744.

The product of its (nonzero) digits is 17010, while the sum is 34.

The square root of 137056309 is about 11707.1050648741. The cubic root of 137056309 is about 515.5842917553.

The spelling of 137056309 in words is "one hundred thirty-seven million, fifty-six thousand, three hundred nine".