133168920 has 128 divisors (see below), whose sum is σ = 416145600. Its totient is φ = 34062336.

The previous prime is 133168909. The next prime is 133168921. The reversal of 133168920 is 29861331.

It is a super-2 number, since 2×133168920² = 35467922507932800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133168921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394992 + ... + 395328.

Almost surely, 2^133168920 is an apocalyptic number.

133168920 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 133168920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208072800).

133168920 is an abundant number, since it is smaller than the sum of its proper divisors (282976680).

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

133168920 is a wasteful number, since it uses less digits than its factorization.

133168920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 133168920 is about 11539.8838815648. The cubic root of 133168920 is about 510.6628827451.

The spelling of 133168920 in words is "one hundred thirty-three million, one hundred sixty-eight thousand, nine hundred twenty".