133130282688 has 504 divisors, whose sum is σ = 430778814336. Its totient is φ = 39249100800.

The previous prime is 133130282669. The next prime is 133130282693. The reversal of 133130282688 is 886282031331.

133130282688 is a `hidden beast` number, since 1 + 331 + 30 + 28 + 268 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 473773108 + ... + 473773388.

Almost surely, 2^133130282688 is an apocalyptic number.

133130282688 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 133130282688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215389407168).

133130282688 is an abundant number, since it is smaller than the sum of its proper divisors (297648531648).

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

133130282688 is a wasteful number, since it uses less digits than its factorization.

133130282688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 133130282688 in words is "one hundred thirty-three billion, one hundred thirty million, two hundred eighty-two thousand, six hundred eighty-eight".