135728320 has 224 divisors, whose sum is σ = 409651200. Its totient is φ = 41693184.

The previous prime is 135728309. The next prime is 135728363. The reversal of 135728320 is 23827531.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×135728320³ (a number of 25 digits) contains 333 as substring.

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, 1718041 + ... + 1718119.

It is an arithmetic number, because the mean of its divisors is an integer number (1828800).

Almost surely, 2^135728320 is an apocalyptic number.

135728320 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 135728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204825600).

135728320 is an abundant number, since it is smaller than the sum of its proper divisors (273922880).

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

135728320 is a wasteful number, since it uses less digits than its factorization.

135728320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 135728320 is about 11650.2497827300. The cubic root of 135728320 is about 513.9136556502.

The spelling of 135728320 in words is "one hundred thirty-five million, seven hundred twenty-eight thousand, three hundred twenty".