133320720 has 240 divisors, whose sum is σ = 473808960. Its totient is φ = 30910464.

The previous prime is 133320709. The next prime is 133320721. The reversal of 133320720 is 27023331.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (133320721) 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 47 ways as a sum of consecutive naturals, for example, 770554 + ... + 770726.

It is an arithmetic number, because the mean of its divisors is an integer number (1974204).

Almost surely, 2^133320720 is an apocalyptic number.

133320720 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 133320720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236904480).

133320720 is an abundant number, since it is smaller than the sum of its proper divisors (340488240).

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

133320720 is a wasteful number, since it uses less digits than its factorization.

133320720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 133320720 is about 11546.4591975203. The cubic root of 133320720 is about 510.8568448938.

The spelling of 133320720 in words is "one hundred thirty-three million, three hundred twenty thousand, seven hundred twenty".