133423630080 has 1152 divisors, whose sum is σ = 512285921280. Its totient is φ = 29302456320.

The previous prime is 133423630013. The next prime is 133423630133. The reversal of 133423630080 is 80036324331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1827720924 + ... + 1827720996.

It is an arithmetic number, because the mean of its divisors is an integer number (444692640).

Almost surely, 2^133423630080 is an apocalyptic number.

133423630080 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 133423630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256142960640).

133423630080 is an abundant number, since it is smaller than the sum of its proper divisors (378862291200).

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

133423630080 is a wasteful number, since it uses less digits than its factorization.

133423630080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 133423630080 in words is "one hundred thirty-three billion, four hundred twenty-three million, six hundred thirty thousand, eighty".