133982946 has 48 divisors (see below), whose sum is σ = 306727200. Its totient is φ = 42151104.

The previous prime is 133982911. The next prime is 133982963. The reversal of 133982946 is 649289331.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 118110 + ... + 119238.

It is an arithmetic number, because the mean of its divisors is an integer number (6390150).

Almost surely, 2^133982946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133982946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153363600).

133982946 is an abundant number, since it is smaller than the sum of its proper divisors (172744254).

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

133982946 is a wasteful number, since it uses less digits than its factorization.

133982946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1500 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 133982946 is about 11575.1002587451. The cubic root of 133982946 is about 511.7012850041.

The spelling of 133982946 in words is "one hundred thirty-three million, nine hundred eighty-two thousand, nine hundred forty-six".