133334320 has 80 divisors (see below), whose sum is σ = 355745088. Its totient is φ = 45527040.

The previous prime is 133334309. The next prime is 133334323. The reversal of 133334320 is 23433331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 133334291 and 133334300.

It is not an unprimeable number, because it can be changed into a prime (133334323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255660 + ... + 256180.

Almost surely, 2^133334320 is an apocalyptic number.

133334320 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 133334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177872544).

133334320 is an abundant number, since it is smaller than the sum of its proper divisors (222410768).

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

133334320 is a wasteful number, since it uses less digits than its factorization.

133334320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

The square root of 133334320 is about 11547.0481076334. The cubic root of 133334320 is about 510.8742150792.

Adding to 133334320 its reverse (23433331), we get a palindrome (156767651).

It can be divided in two parts, 1333 and 34320, that added together give a palindrome (35653).

The spelling of 133334320 in words is "one hundred thirty-three million, three hundred thirty-four thousand, three hundred twenty".