133208064000 has 1200 divisors, whose sum is σ = 549236784096. Its totient is φ = 31850496000.

The previous prime is 133208063987. The next prime is 133208064071. The reversal of 133208064000 is 460802331.

It is a happy number.

133208064000 is a `hidden beast` number, since 13 + 3 + 2 + 0 + 8 + 0 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1824767964 + ... + 1824768036.

Almost surely, 2^133208064000 is an apocalyptic number.

133208064000 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 133208064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274618392048).

133208064000 is an abundant number, since it is smaller than the sum of its proper divisors (416028720096).

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

133208064000 is an frugal number, since it uses more digits than its factorization.

133208064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 133208064000 its reverse (460802331), we get a palindrome (133668866331).

The spelling of 133208064000 in words is "one hundred thirty-three billion, two hundred eight million, sixty-four thousand".