133119168 has 224 divisors, whose sum is σ = 457443840. Its totient is φ = 33177600.

The previous prime is 133119167. The next prime is 133119209. The reversal of 133119168 is 861911331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (133119167) 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, 331768 + ... + 332168.

It is an arithmetic number, because the mean of its divisors is an integer number (2042160).

Almost surely, 2^133119168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133119168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228721920).

133119168 is an abundant number, since it is smaller than the sum of its proper divisors (324324672).

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

133119168 is a wasteful number, since it uses less digits than its factorization.

133119168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 445 counting only the distinct ones).

The product of its digits is 3888, while the sum is 33.

The square root of 133119168 is about 11537.7280259157. The cubic root of 133119168 is about 510.5992801559.

The spelling of 133119168 in words is "one hundred thirty-three million, one hundred nineteen thousand, one hundred sixty-eight".