135320 has 32 divisors (see below), whose sum is σ = 324000. Its totient is φ = 50688.

The previous prime is 135319. The next prime is 135329. The reversal of 135320 is 23531.

135320 is nontrivially palindromic in base 6.

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 135295 and 135304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135329) 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 7 ways as a sum of consecutive naturals, for example, 581 + ... + 779.

It is an arithmetic number, because the mean of its divisors is an integer number (10125).

2¹³⁵³²⁰ is an apocalyptic number.

135320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162000).

135320 is an abundant number, since it is smaller than the sum of its proper divisors (188680).

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

135320 is a wasteful number, since it uses less digits than its factorization.

135320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 135320 is about 367.8586685128. The cubic root of 135320 is about 51.3397791797.

Adding to 135320 its reverse (23531), we get a palindrome (158851).

The spelling of 135320 in words is "one hundred thirty-five thousand, three hundred twenty".