133772083200 has 882 divisors, whose sum is σ = 568462138664. Its totient is φ = 30576476160.

The previous prime is 133772083169. The next prime is 133772083267. The reversal of 133772083200 is 2380277331.

It is a Jordan-Polya number, since it can be written as 10! ⋅ (4!)² ⋅ (2!)⁶.

133772083200 is a `hidden beast` number, since 1 + 3 + 377 + 2 + 0 + 83 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 19110297597 + ... + 19110297603.

Almost surely, 2^133772083200 is an apocalyptic number.

133772083200 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 133772083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284231069332).

133772083200 is an abundant number, since it is smaller than the sum of its proper divisors (434690055464).

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

133772083200 is an frugal number, since it uses more digits than its factorization.

133772083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 133772083200 in words is "one hundred thirty-three billion, seven hundred seventy-two million, eighty-three thousand, two hundred".