133771800832576 has 189 divisors, whose sum is σ = 277030976247963. Its totient is φ = 64088460933120.

The previous prime is 133771800832573. The next prime is 133771800832613. The reversal of 133771800832576 is 675238008177331.

The square root of 133771800832576 is 11565976.

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

It can be written as a sum of positive squares in 4 ways, for example, as 110595510273600 + 23176290558976 = 10516440^2 + 4814176^2 .

It is not an unprimeable number, because it can be changed into a prime (133771800832573) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 427385944996 + ... + 427385945308.

Almost surely, 2^{133771800832576} is an apocalyptic number.

133771800832576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

133771800832576 is the 11565976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133771800832576

133771800832576 is an abundant number, since it is smaller than the sum of its proper divisors (143259175415387).

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

133771800832576 is an frugal number, since it uses more digits than its factorization.

133771800832576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 61.

The spelling of 133771800832576 in words is "one hundred thirty-three trillion, seven hundred seventy-one billion, eight hundred million, eight hundred thirty-two thousand, five hundred seventy-six".