135252 has 54 divisors (see below), whose sum is σ = 391118. Its totient is φ = 39168.

The previous prime is 135241. The next prime is 135257. The reversal of 135252 is 252531.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 30276 + 104976 = 174^2 + 324^2 .

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135257) by changing a digit.

135252 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 17 ways as a sum of consecutive naturals, for example, 7948 + ... + 7964.

2¹³⁵²⁵² is an apocalyptic number.

135252 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 135252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195559).

135252 is an abundant number, since it is smaller than the sum of its proper divisors (255866).

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

135252 is a wasteful number, since it uses less digits than its factorization.

135252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 35 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 135252 is about 367.7662300973. The cubic root of 135252 is about 51.3311781108.

Adding to 135252 its reverse (252531), we get a palindrome (387783).

It can be divided in two parts, 1 and 35252, that added together give a palindrome (35253).

The spelling of 135252 in words is "one hundred thirty-five thousand, two hundred fifty-two".