137312009 has 8 divisors (see below), whose sum is σ = 145573920. Its totient is φ = 129070656.

The previous prime is 137311997. The next prime is 137312017. The reversal of 137312009 is 900213731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137312009 - 2⁸ = 137311753 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137312039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9902 + ... + 19304.

It is an arithmetic number, because the mean of its divisors is an integer number (18196740).

Almost surely, 2^137312009 is an apocalyptic number.

It is an amenable number.

137312009 is a deficient number, since it is larger than the sum of its proper divisors (8261911).

137312009 is an equidigital number, since it uses as much as digits as its factorization.

137312009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10279.

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 137312009 is about 11718.0206946395. The cubic root of 137312009 is about 515.9047269667.

The spelling of 137312009 in words is "one hundred thirty-seven million, three hundred twelve thousand, nine".