133032120 has 128 divisors (see below), whose sum is σ = 438177600. Its totient is φ = 32108544.

The previous prime is 133032113. The next prime is 133032121. The reversal of 133032120 is 21230331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 133032120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133032121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 81876 + ... + 83484.

Almost surely, 2^133032120 is an apocalyptic number.

133032120 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 133032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219088800).

133032120 is an abundant number, since it is smaller than the sum of its proper divisors (305145480).

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

133032120 is a wasteful number, since it uses less digits than its factorization.

133032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 133032120 is about 11533.9550892138. The cubic root of 133032120 is about 510.4879605055.

Adding to 133032120 its reverse (21230331), we get a palindrome (154262451).

The spelling of 133032120 in words is "one hundred thirty-three million, thirty-two thousand, one hundred twenty".