133329768 has 128 divisors (see below), whose sum is σ = 399530880. Its totient is φ = 36541440.

The previous prime is 133329739. The next prime is 133329769. The reversal of 133329768 is 867923331.

It is a happy number.

133329768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (133329769) 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, 181530 + ... + 182262.

It is an arithmetic number, because the mean of its divisors is an integer number (3121335).

Almost surely, 2^133329768 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 133329768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199765440).

133329768 is an abundant number, since it is smaller than the sum of its proper divisors (266201112).

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

133329768 is a wasteful number, since it uses less digits than its factorization.

133329768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 815 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 133329768 is about 11546.8509992985. The cubic root of 133329768 is about 510.8684013075.

The spelling of 133329768 in words is "one hundred thirty-three million, three hundred twenty-nine thousand, seven hundred sixty-eight".