133368912 has 120 divisors (see below), whose sum is σ = 390990600. Its totient is φ = 42384384.

The previous prime is 133368899. The next prime is 133368919. The reversal of 133368912 is 219863331.

133368912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 66194496 + 67174416 = 8136^2 + 8196^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133368919) 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 23 ways as a sum of consecutive naturals, for example, 455038 + ... + 455330.

It is an arithmetic number, because the mean of its divisors is an integer number (3258255).

Almost surely, 2^133368912 is an apocalyptic number.

133368912 is a gapful number since it is divisible by the number (12) 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 133368912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195495300).

133368912 is an abundant number, since it is smaller than the sum of its proper divisors (257621688).

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

133368912 is a wasteful number, since it uses less digits than its factorization.

133368912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 436 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 133368912 is about 11548.5458824910. The cubic root of 133368912 is about 510.9183913343.

The spelling of 133368912 in words is "one hundred thirty-three million, three hundred sixty-eight thousand, nine hundred twelve".