135324 has 48 divisors (see below), whose sum is σ = 403200. Its totient is φ = 38448.

The previous prime is 135319. The next prime is 135329. The reversal of 135324 is 423531.

It is an interprime number because it is at equal distance from previous prime (135319) and next prime (135329).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 1 + 3 + 3³ + 5³ + 2¹⁷ + 4⁶ .

It is a junction number, because it is equal to n+sod(n) for n = 135297 and 135306.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 667 + ... + 845.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

2¹³⁵³²⁴ is an apocalyptic number.

135324 is a gapful number since it is divisible by the number (14) 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 135324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201600).

135324 is an abundant number, since it is smaller than the sum of its proper divisors (267876).

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

135324 is a wasteful number, since it uses less digits than its factorization.

135324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 135324 is about 367.8641053433. The cubic root of 135324 is about 51.3402850352.

Adding to 135324 its reverse (423531), we get a palindrome (558855).

The spelling of 135324 in words is "one hundred thirty-five thousand, three hundred twenty-four".