133466801328000 has 3456 divisors, whose sum is σ = 598291904901600. Its totient is φ = 29522610432000.

The previous prime is 133466801327983. The next prime is 133466801328013. The reversal of 133466801328000 is 823108664331.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

133466801328000 is a `hidden beast` number, since 1 + 3 + 3 + 466 + 80 + 1 + 32 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 4305380687985 + ... + 4305380688015.

Almost surely, 2^{133466801328000} is an apocalyptic number.

133466801328000 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 133466801328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299145952450800).

133466801328000 is an abundant number, since it is smaller than the sum of its proper divisors (464825103573600).

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

133466801328000 is an frugal number, since it uses more digits than its factorization.

133466801328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 133466801328000 in words is "one hundred thirty-three trillion, four hundred sixty-six billion, eight hundred one million, three hundred twenty-eight thousand".