137000009 has 2 divisors, whose sum is σ = 137000010. Its totient is φ = 137000008.

The previous prime is 136999997. The next prime is 137000027. The reversal of 137000009 is 900000731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89775625 + 47224384 = 9475^2 + 6872^2 .

It is a cyclic number.

It is not a de Polignac number, because 137000009 - 2²⁰ = 135951433 is a prime.

It is not a weakly prime, because it can be changed into another prime (137000069) 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, 68500004 + 68500005.

It is an arithmetic number, because the mean of its divisors is an integer number (68500005).

Almost surely, 2^137000009 is an apocalyptic number.

It is an amenable number.

137000009 is a deficient number, since it is larger than the sum of its proper divisors (1).

137000009 is an equidigital number, since it uses as much as digits as its factorization.

137000009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 20.

The square root of 137000009 is about 11704.7002951806. The cubic root of 137000009 is about 515.5136848362.

The spelling of 137000009 in words is "one hundred thirty-seven million, nine", and thus it is an aban number.