137959009 has 2 divisors, whose sum is σ = 137959010. Its totient is φ = 137959008.

The previous prime is 137959001. The next prime is 137959039. The reversal of 137959009 is 900959731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112678225 + 25280784 = 10615^2 + 5028^2 .

It is a cyclic number.

It is not a de Polignac number, because 137959009 - 2³ = 137959001 is a prime.

It is not a weakly prime, because it can be changed into another prime (137959001) 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 as a sum of consecutive naturals, namely, 68979504 + 68979505.

It is an arithmetic number, because the mean of its divisors is an integer number (68979505).

Almost surely, 2^137959009 is an apocalyptic number.

It is an amenable number.

137959009 is a deficient number, since it is larger than the sum of its proper divisors (1).

137959009 is an equidigital number, since it uses as much as digits as its factorization.

137959009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 76545, while the sum is 43.

The square root of 137959009 is about 11745.5953020696. The cubic root of 137959009 is about 516.7137542008.

The spelling of 137959009 in words is "one hundred thirty-seven million, nine hundred fifty-nine thousand, nine".