137038609 has 2 divisors, whose sum is σ = 137038610. Its totient is φ = 137038608.

The previous prime is 137038607. The next prime is 137038633. The reversal of 137038609 is 906830731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136960209 + 78400 = 11703^2 + 280^2 .

It is an emirp because it is prime and its reverse (906830731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137038609 - 2¹ = 137038607 is a prime.

Together with 137038607, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137038607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68519304 + 68519305.

It is an arithmetic number, because the mean of its divisors is an integer number (68519305).

Almost surely, 2^137038609 is an apocalyptic number.

It is an amenable number.

137038609 is a deficient number, since it is larger than the sum of its proper divisors (1).

137038609 is an equidigital number, since it uses as much as digits as its factorization.

137038609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 137038609 is about 11706.3490892763. The cubic root of 137038609 is about 515.5620959271.

The spelling of 137038609 in words is "one hundred thirty-seven million, thirty-eight thousand, six hundred nine".