135984000 has 128 divisors (see below), whose sum is σ = 450946080. Its totient is φ = 36249600.

The previous prime is 135983989. The next prime is 135984031. The reversal of 135984000 is 489531.

135984000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46584 + ... + 49416.

Almost surely, 2^135984000 is an apocalyptic number.

135984000 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 135984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225473040).

135984000 is an abundant number, since it is smaller than the sum of its proper divisors (314962080).

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

135984000 is an equidigital number, since it uses as much as digits as its factorization.

135984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 135984000 is about 11661.2177751725. The cubic root of 135984000 is about 514.2361504263.

The spelling of 135984000 in words is "one hundred thirty-five million, nine hundred eighty-four thousand".