137009 has 4 divisors (see below), whose sum is σ = 144240. Its totient is φ = 129780.

The previous prime is 136999. The next prime is 137029. The reversal of 137009 is 900731.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 137009 - 2⁴ = 136993 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 137009.

It is not an unprimeable number, because it can be changed into a prime (137029) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3587 + ... + 3624.

It is an arithmetic number, because the mean of its divisors is an integer number (36060).

2¹³⁷⁰⁰⁹ is an apocalyptic number.

137009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

137009 is a deficient number, since it is larger than the sum of its proper divisors (7231).

137009 is an equidigital number, since it uses as much as digits as its factorization.

137009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7230.

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

The square root of 137009 is about 370.1472679894. The cubic root of 137009 is about 51.5524961921.

The spelling of 137009 in words is "one hundred thirty-seven thousand, nine".