135306 has 12 divisors (see below), whose sum is σ = 293202. Its totient is φ = 45096.

The previous prime is 135301. The next prime is 135319. The reversal of 135306 is 603531.

It can be written as a sum of positive squares in only one way, i.e., 84681 + 50625 = 291^2 + 225^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 7517 = 135306 / (1 + 3 + 5 + 3 + 0 + 6).

It is not an unprimeable number, because it can be changed into a prime (135301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3741 + ... + 3776.

2¹³⁵³⁰⁶ is an apocalyptic number.

135306 is an abundant number, since it is smaller than the sum of its proper divisors (157896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135306 is a wasteful number, since it uses less digits than its factorization.

135306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7525 (or 7522 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 135306 is about 367.8396389733. The cubic root of 135306 is about 51.3380086070.

Adding to 135306 its reverse (603531), we get a palindrome (738837).

It can be divided in two parts, 135 and 306, that added together give a square (441 = 21²).

The spelling of 135306 in words is "one hundred thirty-five thousand, three hundred six".