137158009 has 2 divisors, whose sum is σ = 137158010. Its totient is φ = 137158008.

The previous prime is 137157973. The next prime is 137158051. The reversal of 137158009 is 900851731.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91298025 + 45859984 = 9555^2 + 6772^2 .

It is a cyclic number.

It is not a de Polignac number, because 137158009 - 2²³ = 128769401 is a prime.

It is not a weakly prime, because it can be changed into another prime (137158069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68579004 + 68579005.

It is an arithmetic number, because the mean of its divisors is an integer number (68579005).

Almost surely, 2^137158009 is an apocalyptic number.

It is an amenable number.

137158009 is a deficient number, since it is larger than the sum of its proper divisors (1).

137158009 is an equidigital number, since it uses as much as digits as its factorization.

137158009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 34.

The square root of 137158009 is about 11711.4477755741. The cubic root of 137158009 is about 515.7117866970.

The spelling of 137158009 in words is "one hundred thirty-seven million, one hundred fifty-eight thousand, nine".