133430457888 has 1152 divisors, whose sum is σ = 534957696000. Its totient is φ = 30519853056.

The previous prime is 133430457841. The next prime is 133430457931. The reversal of 133430457888 is 888754034331.

It is a happy number.

133430457888 is a `hidden beast` number, since 1 + 3 + 34 + 30 + 4 + 578 + 8 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 297172288 + ... + 297172736.

It is an arithmetic number, because the mean of its divisors is an integer number (464373000).

Almost surely, 2^133430457888 is an apocalyptic number.

133430457888 is a gapful number since it is divisible by the number (18) 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 133430457888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267478848000).

133430457888 is an abundant number, since it is smaller than the sum of its proper divisors (401527238112).

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

133430457888 is a wasteful number, since it uses less digits than its factorization.

133430457888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 133430457888 in words is "one hundred thirty-three billion, four hundred thirty million, four hundred fifty-seven thousand, eight hundred eighty-eight".