135216 has 40 divisors (see below), whose sum is σ = 389360. Its totient is φ = 44928.

The previous prime is 135211. The next prime is 135221. The reversal of 135216 is 612531.

135216 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (135211) and next prime (135221).

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 not an unprimeable number, because it can be changed into a prime (135211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276 + ... + 588.

It is an arithmetic number, because the mean of its divisors is an integer number (9734).

2¹³⁵²¹⁶ is an apocalyptic number.

135216 is a gapful number since it is divisible by the number (16) 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 135216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194680).

135216 is an abundant number, since it is smaller than the sum of its proper divisors (254144).

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

135216 is a wasteful number, since it uses less digits than its factorization.

135216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 135216 is about 367.7172827051. The cubic root of 135216 is about 51.3266234366.

Adding to 135216 its reverse (612531), we get a palindrome (747747).

It can be divided in two parts, 135 and 216, that added together give a triangular number (351 = T₂₆).

The spelling of 135216 in words is "one hundred thirty-five thousand, two hundred sixteen".