135432 has 80 divisors (see below), whose sum is σ = 435600. Its totient is φ = 38880.

The previous prime is 135431. The next prime is 135433. The reversal of 135432 is 234531.

It is an interprime number because it is at equal distance from previous prime (135431) and next prime (135433).

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

It is not an unprimeable number, because it can be changed into a prime (135431) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7119 + ... + 7137.

It is an arithmetic number, because the mean of its divisors is an integer number (5445).

135432 is a Friedman number, since it can be written as 21^4-(3*3)^5, using all its digits and the basic arithmetic operations.

2¹³⁵⁴³² is an apocalyptic number.

135432 is a gapful number since it is divisible by the number (12) 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 135432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217800).

135432 is an abundant number, since it is smaller than the sum of its proper divisors (300168).

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

135432 is a wasteful number, since it uses less digits than its factorization.

135432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 35 counting only the distinct ones).

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

The square root of 135432 is about 368.0108694047. The cubic root of 135432 is about 51.3539393670.

Adding to 135432 its reverse (234531), we get a palindrome (369963).

Subtracting 135432 from its reverse (234531), we obtain a palindrome (99099).

It can be divided in two parts, 13 and 5432, that added together give a palindrome (5445).

The spelling of 135432 in words is "one hundred thirty-five thousand, four hundred thirty-two".