133332768 has 144 divisors (see below), whose sum is σ = 406702296. Its totient is φ = 41287680.

The previous prime is 133332761. The next prime is 133332791. The reversal of 133332768 is 867233331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 109244304 + 24088464 = 10452^2 + 4908^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (133332761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 553128 + ... + 553368.

Almost surely, 2^133332768 is an apocalyptic number.

133332768 is a gapful number since it is divisible by the number (18) 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 133332768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203351148).

133332768 is an abundant number, since it is smaller than the sum of its proper divisors (273369528).

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

133332768 is a wasteful number, since it uses less digits than its factorization.

133332768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 376 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 133332768 is about 11546.9809041152. The cubic root of 133332768 is about 510.8722328942.

The spelling of 133332768 in words is "one hundred thirty-three million, three hundred thirty-two thousand, seven hundred sixty-eight".