133306668 has 108 divisors (see below), whose sum is σ = 383683720. Its totient is φ = 39996000.

The previous prime is 133306661. The next prime is 133306669. The reversal of 133306668 is 866603331.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (133306661) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1319818 + ... + 1319918.

Almost surely, 2^133306668 is an apocalyptic number.

133306668 is a gapful number since it is divisible by the number (18) 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 133306668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191841860).

133306668 is an abundant number, since it is smaller than the sum of its proper divisors (250377052).

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

133306668 is a wasteful number, since it uses less digits than its factorization.

133306668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 133306668 is about 11545.8506832541. The cubic root of 133306668 is about 510.8388961644.

Adding to 133306668 its reverse (866603331), we get a palindrome (999909999).

The spelling of 133306668 in words is "one hundred thirty-three million, three hundred six thousand, six hundred sixty-eight".