133404320 has 96 divisors (see below), whose sum is σ = 379209600. Its totient is φ = 43324416.

The previous prime is 133404317. The next prime is 133404329. The reversal of 133404320 is 23404331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 133404292 and 133404301.

It is not an unprimeable number, because it can be changed into a prime (133404329) 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, 18146 + ... + 24414.

It is an arithmetic number, because the mean of its divisors is an integer number (3950100).

Almost surely, 2^133404320 is an apocalyptic number.

133404320 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 133404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189604800).

133404320 is an abundant number, since it is smaller than the sum of its proper divisors (245805280).

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

133404320 is a wasteful number, since it uses less digits than its factorization.

133404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6310 (or 6302 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 133404320 is about 11550.0787876101. The cubic root of 133404320 is about 510.9636017645.

Adding to 133404320 its reverse (23404331), we get a palindrome (156808651).

The spelling of 133404320 in words is "one hundred thirty-three million, four hundred four thousand, three hundred twenty".