133043790600 has 864 divisors, whose sum is σ = 546363468000. Its totient is φ = 29669552640.

The previous prime is 133043790577. The next prime is 133043790601. The reversal of 133043790600 is 6097340331.

133043790600 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 43 + 7 + 9 + 0 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (133043790601) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 743261311 + ... + 743261489.

It is an arithmetic number, because the mean of its divisors is an integer number (632365125).

Almost surely, 2^133043790600 is an apocalyptic number.

133043790600 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 133043790600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273181734000).

133043790600 is an abundant number, since it is smaller than the sum of its proper divisors (413319677400).

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

133043790600 is a wasteful number, since it uses less digits than its factorization.

133043790600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 133043790600 in words is "one hundred thirty-three billion, forty-three million, seven hundred ninety thousand, six hundred".