133197024576 has 420 divisors, whose sum is σ = 451413615840. Its totient is φ = 34560852480.

The previous prime is 133197024551. The next prime is 133197024599. The reversal of 133197024576 is 675420791331.

It is a happy number.

133197024576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 137742045 + ... + 137743011.

Almost surely, 2^133197024576 is an apocalyptic number.

133197024576 is a gapful number since it is divisible by the number (16) 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 133197024576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225706807920).

133197024576 is an abundant number, since it is smaller than the sum of its proper divisors (318216591264).

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

133197024576 is an frugal number, since it uses more digits than its factorization.

133197024576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The spelling of 133197024576 in words is "one hundred thirty-three billion, one hundred ninety-seven million, twenty-four thousand, five hundred seventy-six".