133212960 has 144 divisors (see below), whose sum is σ = 460736640. Its totient is φ = 35043840.

The previous prime is 133212949. The next prime is 133213043. The reversal of 133212960 is 69212331.

133212960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113175 + ... + 114345.

It is an arithmetic number, because the mean of its divisors is an integer number (3199560).

Almost surely, 2^133212960 is an apocalyptic number.

133212960 is a gapful number since it is divisible by the number (10) 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 133212960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230368320).

133212960 is an abundant number, since it is smaller than the sum of its proper divisors (327523680).

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

133212960 is a wasteful number, since it uses less digits than its factorization.

133212960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 133212960 is about 11541.7918886107. The cubic root of 133212960 is about 510.7191699395.

The spelling of 133212960 in words is "one hundred thirty-three million, two hundred twelve thousand, nine hundred sixty".