135288216 has 144 divisors (see below), whose sum is σ = 440331840. Its totient is φ = 37376640.

The previous prime is 135288173. The next prime is 135288217. The reversal of 135288216 is 612882531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (23040) is a multiple of the sum of its prime divisors (1280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135288217) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 108750 + ... + 109986.

It is an arithmetic number, because the mean of its divisors is an integer number (3057860).

Almost surely, 2^135288216 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 135288216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220165920).

135288216 is an abundant number, since it is smaller than the sum of its proper divisors (305043624).

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

135288216 is a wasteful number, since it uses less digits than its factorization.

135288216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1280 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 135288216 is about 11631.3462677370. The cubic root of 135288216 is about 513.3575929765.

The spelling of 135288216 in words is "one hundred thirty-five million, two hundred eighty-eight thousand, two hundred sixteen".