135307 has 4 divisors (see below), whose sum is σ = 136080. Its totient is φ = 134536.

The previous prime is 135301. The next prime is 135319. The reversal of 135307 is 703531.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 135307 - 2¹⁵ = 102539 is a prime.

It is a Duffinian number.

135307 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (135301) 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, 18 + ... + 520.

It is an arithmetic number, because the mean of its divisors is an integer number (34020).

2¹³⁵³⁰⁷ is an apocalyptic number.

135307 is a deficient number, since it is larger than the sum of its proper divisors (773).

135307 is an equidigital number, since it uses as much as digits as its factorization.

135307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772.

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

The square root of 135307 is about 367.8409982588. The cubic root of 135307 is about 51.3381350805.

Adding to 135307 its reverse (703531), we get a palindrome (838838).

The spelling of 135307 in words is "one hundred thirty-five thousand, three hundred seven".