133443120 has 80 divisors (see below), whose sum is σ = 414973440. Its totient is φ = 35473152.

The previous prime is 133443097. The next prime is 133443133. The reversal of 133443120 is 21344331.

133443120 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 (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99897 + ... + 101223.

It is an arithmetic number, because the mean of its divisors is an integer number (5187168).

Almost surely, 2^133443120 is an apocalyptic number.

133443120 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 133443120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207486720).

133443120 is an abundant number, since it is smaller than the sum of its proper divisors (281530320).

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

133443120 is a wasteful number, since it uses less digits than its factorization.

133443120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 133443120 is about 11551.7583077210. The cubic root of 133443120 is about 511.0131340586.

Adding to 133443120 its reverse (21344331), we get a palindrome (154787451).

The spelling of 133443120 in words is "one hundred thirty-three million, four hundred forty-three thousand, one hundred twenty".