320133120 has 192 divisors, whose sum is σ = 1086190560. Its totient is φ = 80216064.

The previous prime is 320133119. The next prime is 320133127. The reversal of 320133120 is 21331023.

It is a tau number, because it is divible by the number of its divisors (192).

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 320133120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320133127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521934 + ... + 522546.

Almost surely, 2^320133120 is an apocalyptic number.

320133120 is a gapful number since it is divisible by the number (30) 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 320133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543095280).

320133120 is an abundant number, since it is smaller than the sum of its proper divisors (766057440).

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

320133120 is a wasteful number, since it uses less digits than its factorization.

320133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 640 counting only the distinct ones).

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

The square root of 320133120 is about 17892.2642502284. The cubic root of 320133120 is about 684.0852121875.

Adding to 320133120 its reverse (21331023), we get a palindrome (341464143).

The spelling of 320133120 in words is "three hundred twenty million, one hundred thirty-three thousand, one hundred twenty".