133262728200 has 384 divisors, whose sum is σ = 552202752000. Its totient is φ = 28856736000.

The previous prime is 133262728199. The next prime is 133262728217. The reversal of 133262728200 is 2827262331.

133262728200 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 627 + 2 + 8 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 625425 + ... + 810975.

It is an arithmetic number, because the mean of its divisors is an integer number (1438028000).

Almost surely, 2^133262728200 is an apocalyptic number.

133262728200 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 133262728200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276101376000).

133262728200 is an abundant number, since it is smaller than the sum of its proper divisors (418940023800).

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

133262728200 is a wasteful number, since it uses less digits than its factorization.

133262728200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185602 (or 185587 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 133262728200 in words is "one hundred thirty-three billion, two hundred sixty-two million, seven hundred twenty-eight thousand, two hundred".