132884064000 has 864 divisors, whose sum is σ = 518120838144. Its totient is φ = 33849446400.

The previous prime is 132884063981. The next prime is 132884064031. The reversal of 132884064000 is 460488231.

132884064000 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 8 + 4 + 0 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 178847629 + ... + 178848371.

It is an arithmetic number, because the mean of its divisors is an integer number (599676896).

Almost surely, 2^132884064000 is an apocalyptic number.

132884064000 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 132884064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259060419072).

132884064000 is an abundant number, since it is smaller than the sum of its proper divisors (385236774144).

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

132884064000 is an frugal number, since it uses more digits than its factorization.

132884064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 132884064000 in words is "one hundred thirty-two billion, eight hundred eighty-four million, sixty-four thousand".