216135 has 16 divisors (see below), whose sum is σ = 384480. Its totient is φ = 115200.

The previous prime is 216133. The next prime is 216149. The reversal of 216135 is 531612.

216135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 216135 - 2¹ = 216133 is a prime.

216135 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216133) 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, 666 + ... + 935.

It is an arithmetic number, because the mean of its divisors is an integer number (24030).

2²¹⁶¹³⁵ is an apocalyptic number.

216135 is a deficient number, since it is larger than the sum of its proper divisors (168345).

216135 is a wasteful number, since it uses less digits than its factorization.

216135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1609 counting only the distinct ones).

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

The square root of 216135 is about 464.9032157342. The cubic root of 216135 is about 60.0124973967.

Adding to 216135 its sum of digits (18), we get a triangular number (216153 = T₆₅₇).

Adding to 216135 its reverse (531612), we get a palindrome (747747).

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

The spelling of 216135 in words is "two hundred sixteen thousand, one hundred thirty-five".