133168321920 has 512 divisors, whose sum is σ = 462777753600. Its totient is φ = 32472760320.

The previous prime is 133168321907. The next prime is 133168321981. The reversal of 133168321920 is 29123861331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121836894 + ... + 121837986.

It is an arithmetic number, because the mean of its divisors is an integer number (903862800).

Almost surely, 2^133168321920 is an apocalyptic number.

133168321920 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 133168321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231388876800).

133168321920 is an abundant number, since it is smaller than the sum of its proper divisors (329609431680).

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

133168321920 is a wasteful number, since it uses less digits than its factorization.

133168321920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 133168321920 in words is "one hundred thirty-three billion, one hundred sixty-eight million, three hundred twenty-one thousand, nine hundred twenty".