133032434976 has 1152 divisors, whose sum is σ = 507219148800. Its totient is φ = 32188907520.

The previous prime is 133032434959. The next prime is 133032435023. The reversal of 133032434976 is 679434230331.

It is a happy number.

133032434976 is a `hidden beast` number, since 1 + 330 + 3 + 243 + 4 + 9 + 76 = 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, 1047499425 + ... + 1047499551.

It is an arithmetic number, because the mean of its divisors is an integer number (440294400).

Almost surely, 2^133032434976 is an apocalyptic number.

133032434976 is a gapful number since it is divisible by the number (16) 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 133032434976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253609574400).

133032434976 is an abundant number, since it is smaller than the sum of its proper divisors (374186713824).

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

133032434976 is a wasteful number, since it uses less digits than its factorization.

133032434976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 133032434976 in words is "one hundred thirty-three billion, thirty-two million, four hundred thirty-four thousand, nine hundred seventy-six".