137305 has 8 divisors (see below), whose sum is σ = 188352. Its totient is φ = 94128.

The previous prime is 137303. The next prime is 137321. The reversal of 137305 is 503731.

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 137305 - 2¹ = 137303 is a prime.

It is a d-powerful number, because it can be written as 1 + 3⁴ + 3¹⁰ + 7² + 0 + 5⁷ .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1927 + ... + 1996.

It is an arithmetic number, because the mean of its divisors is an integer number (23544).

2¹³⁷³⁰⁵ is an apocalyptic number.

It is an amenable number.

137305 is a deficient number, since it is larger than the sum of its proper divisors (51047).

137305 is an equidigital number, since it uses as much as digits as its factorization.

137305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3935.

The product of its (nonzero) digits is 315, while the sum is 19.

The square root of 137305 is about 370.5468931188. The cubic root of 137305 is about 51.5895948813.

The spelling of 137305 in words is "one hundred thirty-seven thousand, three hundred five".