133338904336 has 135 divisors (see below), whose sum is σ = 292236586677. Its totient is φ = 58892359680.

The previous prime is 133338904331. The next prime is 133338904343. The reversal of 133338904336 is 633409833331.

The square root of 133338904336 is 365156.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 32306467600 + 101032436736 = 179740^2 + 317856^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133338904331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 690875056 + ... + 690875248.

Almost surely, 2^133338904336 is an apocalyptic number.

133338904336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

133338904336 is the 365156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133338904336

133338904336 is an abundant number, since it is smaller than the sum of its proper divisors (158897682341).

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

133338904336 is an equidigital number, since it uses as much as digits as its factorization.

133338904336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 46.

The spelling of 133338904336 in words is "one hundred thirty-three billion, three hundred thirty-eight million, nine hundred four thousand, three hundred thirty-six".