133046372160 has 504 divisors, whose sum is σ = 521650752480. Its totient is φ = 31024041984.

The previous prime is 133046372159. The next prime is 133046372237. The reversal of 133046372160 is 61273640331.

133046372160 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 4 + 637 + 2 + 16 + 0 = 666.

133046372160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9240487 + ... + 9254873.

Almost surely, 2^133046372160 is an apocalyptic number.

133046372160 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 133046372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260825376240).

133046372160 is an abundant number, since it is smaller than the sum of its proper divisors (388604380320).

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

133046372160 is a wasteful number, since it uses less digits than its factorization.

133046372160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14455 (or 14429 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 133046372160 in words is "one hundred thirty-three billion, forty-six million, three hundred seventy-two thousand, one hundred sixty".