133648704000 has 1600 divisors, whose sum is σ = 593207746560. Its totient is φ = 29262643200.

The previous prime is 133648703977. The next prime is 133648704019. The reversal of 133648704000 is 407846331.

133648704000 is a `hidden beast` number, since 1 + 3 + 3 + 648 + 7 + 0 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1052351937 + ... + 1052352063.

Almost surely, 2^133648704000 is an apocalyptic number.

133648704000 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 133648704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296603873280).

133648704000 is an abundant number, since it is smaller than the sum of its proper divisors (459559042560).

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

133648704000 is an equidigital number, since it uses as much as digits as its factorization.

133648704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 133648704000 in words is "one hundred thirty-three billion, six hundred forty-eight million, seven hundred four thousand".