133642828800 has 1056 divisors, whose sum is σ = 537303110400. Its totient is φ = 32354795520.

The previous prime is 133642828777. The next prime is 133642828849. The reversal of 133642828800 is 8828246331.

133642828800 is a `hidden beast` number, since 1 + 3 + 364 + 2 + 8 + 288 + 0 + 0 = 666.

It is a super-2 number, since 2×133642828800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 961459131 + ... + 961459269.

Almost surely, 2^133642828800 is an apocalyptic number.

133642828800 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 133642828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268651555200).

133642828800 is an abundant number, since it is smaller than the sum of its proper divisors (403660281600).

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

133642828800 is a wasteful number, since it uses less digits than its factorization.

133642828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 133642828800 in words is "one hundred thirty-three billion, six hundred forty-two million, eight hundred twenty-eight thousand, eight hundred".