135212 has 24 divisors (see below), whose sum is σ = 295680. Its totient is φ = 52560.

The previous prime is 135211. The next prime is 135221. The reversal of 135212 is 212531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (135211) 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, 89 + ... + 527.

It is an arithmetic number, because the mean of its divisors is an integer number (12320).

2¹³⁵²¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147840).

135212 is an abundant number, since it is smaller than the sum of its proper divisors (160468).

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

135212 is a wasteful number, since it uses less digits than its factorization.

135212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 459 counting only the distinct ones).

The product of its digits is 60, while the sum is 14.

The square root of 135212 is about 367.7118437037. The cubic root of 135212 is about 51.3261173118.

Adding to 135212 its reverse (212531), we get a palindrome (347743).

It can be divided in two parts, 13 and 5212, that added together give a palindrome (5225).

The spelling of 135212 in words is "one hundred thirty-five thousand, two hundred twelve".