135321 has 8 divisors (see below), whose sum is σ = 184800. Its totient is φ = 88032.

The previous prime is 135319. The next prime is 135329. The reversal of 135321 is 123531.

It is a happy number.

135321 is nontrivially palindromic in base 13.

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

It is not a de Polignac number, because 135321 - 2¹ = 135319 is a prime.

It is a plaindrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 135321.

It is not an unprimeable number, because it can be changed into a prime (135329) 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, 396 + ... + 653.

It is an arithmetic number, because the mean of its divisors is an integer number (23100).

2¹³⁵³²¹ is an apocalyptic number.

It is an amenable number.

135321 is a deficient number, since it is larger than the sum of its proper divisors (49479).

135321 is a wasteful number, since it uses less digits than its factorization.

135321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095.

The product of its digits is 90, while the sum is 15.

The square root of 135321 is about 367.8600277279. The cubic root of 135321 is about 51.3399056445.

Adding to 135321 its reverse (123531), we get a palindrome (258852).

The spelling of 135321 in words is "one hundred thirty-five thousand, three hundred twenty-one".