133382646 has 128 divisors (see below), whose sum is σ = 334540800. Its totient is φ = 39191040.

The previous prime is 133382611. The next prime is 133382651. The reversal of 133382646 is 646283331.

133382646 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 8 + 2 + 646 = 666.

133382646 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133382646² = 35581860507922632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133382646.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1223640 + ... + 1223748.

It is an arithmetic number, because the mean of its divisors is an integer number (2613600).

Almost surely, 2^133382646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133382646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167270400).

133382646 is an abundant number, since it is smaller than the sum of its proper divisors (201158154).

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

133382646 is a wasteful number, since it uses less digits than its factorization.

133382646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 133382646 is about 11549.1404874995. The cubic root of 133382646 is about 510.9359284355.

The spelling of 133382646 in words is "one hundred thirty-three million, three hundred eighty-two thousand, six hundred forty-six".