133170664032 has 864 divisors, whose sum is σ = 482495569920. Its totient is φ = 35372712960.

The previous prime is 133170663959. The next prime is 133170664051. The reversal of 133170664032 is 230466071331.

133170664032 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 7 + 0 + 6 + 640 + 3 + 2 = 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 143 ways as a sum of consecutive naturals, for example, 1685704569 + ... + 1685704647.

Almost surely, 2^133170664032 is an apocalyptic number.

133170664032 is a gapful number since it is divisible by the number (12) 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 133170664032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241247784960).

133170664032 is an abundant number, since it is smaller than the sum of its proper divisors (349324905888).

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

133170664032 is an frugal number, since it uses more digits than its factorization.

133170664032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 133170664032 in words is "one hundred thirty-three billion, one hundred seventy million, six hundred sixty-four thousand, thirty-two".