133628518800 has 720 divisors, whose sum is σ = 573566622720. Its totient is φ = 29212254720.

The previous prime is 133628518789. The next prime is 133628518813. The reversal of 133628518800 is 8815826331.

133628518800 is a `hidden beast` number, since 1 + 3 + 3 + 628 + 5 + 18 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 143 ways as a sum of consecutive naturals, for example, 15644931 + ... + 15653469.

Almost surely, 2^133628518800 is an apocalyptic number.

133628518800 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 133628518800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286783311360).

133628518800 is an abundant number, since it is smaller than the sum of its proper divisors (439938103920).

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

133628518800 is a wasteful number, since it uses less digits than its factorization.

133628518800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8602 (or 8579 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 133628518800 in words is "one hundred thirty-three billion, six hundred twenty-eight million, five hundred eighteen thousand, eight hundred".