133033120 has 96 divisors (see below), whose sum is σ = 346078656. Its totient is φ = 47923200.

The previous prime is 133033097. The next prime is 133033181. The reversal of 133033120 is 21330331.

It is a super-2 number, since 2×133033120² = 35395622033868800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 133033094 and 133033103.

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, 230272 + ... + 230848.

It is an arithmetic number, because the mean of its divisors is an integer number (3604986).

Almost surely, 2^133033120 is an apocalyptic number.

133033120 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 133033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173039328).

133033120 is an abundant number, since it is smaller than the sum of its proper divisors (213045536).

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

133033120 is a wasteful number, since it uses less digits than its factorization.

133033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 133033120 is about 11533.9984393965. The cubic root of 133033120 is about 510.4892396119.

Adding to 133033120 its reverse (21330331), we get a palindrome (154363451).

The spelling of 133033120 in words is "one hundred thirty-three million, thirty-three thousand, one hundred twenty".