135827328 has 256 divisors, whose sum is σ = 466099200. Its totient is φ = 34265088.

The previous prime is 135827311. The next prime is 135827339. The reversal of 135827328 is 823728531.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (80640) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5905525 + ... + 5905547.

It is an arithmetic number, because the mean of its divisors is an integer number (1820700).

Almost surely, 2^135827328 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 135827328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233049600).

135827328 is an abundant number, since it is smaller than the sum of its proper divisors (330271872).

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

135827328 is an equidigital number, since it uses as much as digits as its factorization.

135827328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 48 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 135827328 is about 11654.4981873953. The cubic root of 135827328 is about 514.0385846168.

It can be divided in two parts, 13582 and 7328, that added together give a triangular number (20910 = T₂₀₄).

The spelling of 135827328 in words is "one hundred thirty-five million, eight hundred twenty-seven thousand, three hundred twenty-eight".