133705728000 has 1280 divisors, whose sum is σ = 554193319680. Its totient is φ = 31850496000.

The previous prime is 133705727993. The next prime is 133705728017. The reversal of 133705728000 is 827507331.

133705728000 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 0 + 572 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4313087985 + ... + 4313088015.

It is an arithmetic number, because the mean of its divisors is an integer number (432963531).

Almost surely, 2^133705728000 is an apocalyptic number.

133705728000 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 133705728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277096659840).

133705728000 is an abundant number, since it is smaller than the sum of its proper divisors (420487591680).

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

133705728000 is an frugal number, since it uses more digits than its factorization.

133705728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 133705728000 in words is "one hundred thirty-three billion, seven hundred five million, seven hundred twenty-eight thousand".