137109 has 8 divisors (see below), whose sum is σ = 208960. Its totient is φ = 78336.

The previous prime is 137089. The next prime is 137117. The reversal of 137109 is 901731.

137109 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 137109 - 2⁵ = 137077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 6529 = 137109 / (1 + 3 + 7 + 1 + 0 + 9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3244 + ... + 3285.

It is an arithmetic number, because the mean of its divisors is an integer number (26120).

2¹³⁷¹⁰⁹ is an apocalyptic number.

It is an amenable number.

137109 is a deficient number, since it is larger than the sum of its proper divisors (71851).

137109 is an equidigital number, since it uses as much as digits as its factorization.

137109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6539.

The product of its (nonzero) digits is 189, while the sum is 21.

The square root of 137109 is about 370.2823247199. The cubic root of 137109 is about 51.5650355043.

The spelling of 137109 in words is "one hundred thirty-seven thousand, one hundred nine".