133218944 has 64 divisors (see below), whose sum is σ = 284653440. Its totient is φ = 61940736.

The previous prime is 133218929. The next prime is 133218947. The reversal of 133218944 is 449812331.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (133218947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108317 + ... + 109539.

It is an arithmetic number, because the mean of its divisors is an integer number (4447710).

Almost surely, 2^133218944 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 133218944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142326720).

133218944 is an abundant number, since it is smaller than the sum of its proper divisors (151434496).

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

133218944 is a wasteful number, since it uses less digits than its factorization.

133218944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1285 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 133218944 is about 11542.0511175441. The cubic root of 133218944 is about 510.7268170877.

The spelling of 133218944 in words is "one hundred thirty-three million, two hundred eighteen thousand, nine hundred forty-four".