135328320 has 280 divisors, whose sum is σ = 504529344. Its totient is φ = 34366464.

The previous prime is 135328309. The next prime is 135328379. The reversal of 135328320 is 23823531.

135328320 is a `hidden beast` number, since 13 + 5 + 328 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 596047 + ... + 596273.

Almost surely, 2^135328320 is an apocalyptic number.

135328320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252264672).

135328320 is an abundant number, since it is smaller than the sum of its proper divisors (369201024).

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

135328320 is a wasteful number, since it uses less digits than its factorization.

135328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 135328320 is about 11633.0701020840. The cubic root of 135328320 is about 513.4083134792.

It can be divided in two parts, 135 and 328320, that added together give a triangular number (328455 = T₈₁₀).

The spelling of 135328320 in words is "one hundred thirty-five million, three hundred twenty-eight thousand, three hundred twenty".