133005320 has 128 divisors (see below), whose sum is σ = 376012800. Its totient is φ = 41285376.

The previous prime is 133005319. The next prime is 133005329. The reversal of 133005320 is 23500331.

It is not an unprimeable number, because it can be changed into a prime (133005329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121817 + ... + 122903.

It is an arithmetic number, because the mean of its divisors is an integer number (2937600).

Almost surely, 2^133005320 is an apocalyptic number.

133005320 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 133005320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188006400).

133005320 is an abundant number, since it is smaller than the sum of its proper divisors (243007480).

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

133005320 is a wasteful number, since it uses less digits than its factorization.

133005320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 133005320 is about 11532.7932436162. The cubic root of 133005320 is about 510.4536780677.

Adding to 133005320 its reverse (23500331), we get a palindrome (156505651).

The spelling of 133005320 in words is "one hundred thirty-three million, five thousand, three hundred twenty".