135782304000 has 1152 divisors, whose sum is σ = 545935982592. Its totient is φ = 29262643200.

The previous prime is 135782303863. The next prime is 135782304017. The reversal of 135782304000 is 403287531.

135782304000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1069151937 + ... + 1069152063.

Almost surely, 2^135782304000 is an apocalyptic number.

135782304000 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 135782304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272967991296).

135782304000 is an abundant number, since it is smaller than the sum of its proper divisors (410153678592).

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

135782304000 is a wasteful number, since it uses less digits than its factorization.

135782304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 135782304000 in words is "one hundred thirty-five billion, seven hundred eighty-two million, three hundred four thousand".