137307 has 8 divisors (see below), whose sum is σ = 188176. Its totient is φ = 88992.

The previous prime is 137303. The next prime is 137321. The reversal of 137307 is 703731.

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

It is not a de Polignac number, because 137307 - 2² = 137303 is a prime.

It is a d-powerful number, because it can be written as 1 + 3¹⁰ + 3¹⁰ + 7⁴ + 0 + 7⁵ .

It is a Duffinian number.

137307 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 137307.

It is not an unprimeable number, because it can be changed into a prime (137303) 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, 508 + ... + 729.

It is an arithmetic number, because the mean of its divisors is an integer number (23522).

2¹³⁷³⁰⁷ is an apocalyptic number.

137307 is a deficient number, since it is larger than the sum of its proper divisors (50869).

137307 is a wasteful number, since it uses less digits than its factorization.

137307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277.

The product of its (nonzero) digits is 441, while the sum is 21.

The square root of 137307 is about 370.5495918227. The cubic root of 137307 is about 51.5898453667.

It can be divided in two parts, 137 and 307, that added together give a palindrome (444).

The spelling of 137307 in words is "one hundred thirty-seven thousand, three hundred seven".