133845280 has 96 divisors (see below), whose sum is σ = 339220224. Its totient is φ = 49775616.

The previous prime is 133845263. The next prime is 133845289. The reversal of 133845280 is 82548331.

It is a happy number.

133845280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×133845280³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (133845289) 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, 135669 + ... + 136651.

It is an arithmetic number, because the mean of its divisors is an integer number (3533544).

Almost surely, 2^133845280 is an apocalyptic number.

133845280 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 133845280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169610112).

133845280 is an abundant number, since it is smaller than the sum of its proper divisors (205374944).

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

133845280 is a wasteful number, since it uses less digits than its factorization.

133845280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 133845280 is about 11569.1520864755. The cubic root of 133845280 is about 511.5259691356.

The spelling of 133845280 in words is "one hundred thirty-three million, eight hundred forty-five thousand, two hundred eighty".