133073280 has 320 divisors, whose sum is σ = 506515680. Its totient is φ = 33177600.

The previous prime is 133073279. The next prime is 133073287. The reversal of 133073280 is 82370331.

133073280 is a `hidden beast` number, since 1 + 330 + 7 + 328 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133073287) 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 39 ways as a sum of consecutive naturals, for example, 881205 + ... + 881355.

Almost surely, 2^133073280 is an apocalyptic number.

133073280 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 133073280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253257840).

133073280 is an abundant number, since it is smaller than the sum of its proper divisors (373442400).

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

133073280 is a wasteful number, since it uses less digits than its factorization.

133073280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 133073280 is about 11535.7392480933. The cubic root of 133073280 is about 510.5406032253.

The spelling of 133073280 in words is "one hundred thirty-three million, seventy-three thousand, two hundred eighty".