135584328 has 64 divisors (see below), whose sum is σ = 381726720. Its totient is φ = 39758400.

The previous prime is 135584327. The next prime is 135584329. The reversal of 135584328 is 823485531.

It is an interprime number because it is at equal distance from previous prime (135584327) and next prime (135584329).

It is not an unprimeable number, because it can be changed into a prime (135584321) 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, 100 + ... + 16467.

It is an arithmetic number, because the mean of its divisors is an integer number (5964480).

Almost surely, 2^135584328 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 135584328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190863360).

135584328 is an abundant number, since it is smaller than the sum of its proper divisors (246142392).

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

135584328 is a wasteful number, since it uses less digits than its factorization.

135584328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16618 (or 16614 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 135584328 is about 11644.0683611872. The cubic root of 135584328 is about 513.7318570916.

The spelling of 135584328 in words is "one hundred thirty-five million, five hundred eighty-four thousand, three hundred twenty-eight".