135216384 has 36 divisors (see below), whose sum is σ = 359874816. Its totient is φ = 45071872.

The previous prime is 135216383. The next prime is 135216413. The reversal of 135216384 is 483612531.

It is a super-3 number, since 3×135216384³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135216383) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87264 + ... + 88799.

Almost surely, 2^135216384 is an apocalyptic number.

It is an amenable number.

135216384 is an abundant number, since it is smaller than the sum of its proper divisors (224658432).

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

135216384 is an equidigital number, since it uses as much as digits as its factorization.

135216384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176082 (or 176068 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 135216384 is about 11628.2579950739. The cubic root of 135216384 is about 513.2667202407.

The spelling of 135216384 in words is "one hundred thirty-five million, two hundred sixteen thousand, three hundred eighty-four".