133330320 has 160 divisors (see below), whose sum is σ = 486397440. Its totient is φ = 33454080.

The previous prime is 133330297. The next prime is 133330331. The reversal of 133330320 is 23033331.

133330320 is a `hidden beast` number, since 13 + 3 + 330 + 320 = 666.

133330320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133330293 and 133330302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34905 + ... + 38535.

It is an arithmetic number, because the mean of its divisors is an integer number (3039984).

Almost surely, 2^133330320 is an apocalyptic number.

133330320 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 133330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243198720).

133330320 is an abundant number, since it is smaller than the sum of its proper divisors (353067120).

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

133330320 is a wasteful number, since it uses less digits than its factorization.

133330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 133330320 is about 11546.8749018945. The cubic root of 133330320 is about 510.8691063238.

Adding to 133330320 its reverse (23033331), we get a palindrome (156363651).

It can be divided in two parts, 13 and 3330320, that added together give a palindrome (3330333).

The spelling of 133330320 in words is "one hundred thirty-three million, three hundred thirty thousand, three hundred twenty".