133320000 has 280 divisors, whose sum is σ = 485619552. Its totient is φ = 32000000.

The previous prime is 133319993. The next prime is 133320049. The reversal of 133320000 is 23331.

It is a happy number.

133320000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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, 1319950 + ... + 1320050.

Almost surely, 2^133320000 is an apocalyptic number.

133320000 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 133320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242809776).

133320000 is an abundant number, since it is smaller than the sum of its proper divisors (352299552).

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

133320000 is a wasteful number, since it uses less digits than its factorization.

133320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 133320000 is about 11546.4280190888. The cubic root of 133320000 is about 510.8559252629.

Adding to 133320000 its reverse (23331), we get a palindrome (133343331).

The spelling of 133320000 in words is "one hundred thirty-three million, three hundred twenty thousand".