133129202976 has 288 divisors, whose sum is σ = 478475157888. Its totient is φ = 34104913920.

The previous prime is 133129202953. The next prime is 133129202977. The reversal of 133129202976 is 679202921331.

133129202976 is a `hidden beast` number, since 1 + 331 + 2 + 9 + 20 + 297 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (133129202977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1577730 + ... + 1659966.

It is an arithmetic number, because the mean of its divisors is an integer number (1661372076).

Almost surely, 2^133129202976 is an apocalyptic number.

133129202976 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 133129202976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239237578944).

133129202976 is an abundant number, since it is smaller than the sum of its proper divisors (345345954912).

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

133129202976 is a wasteful number, since it uses less digits than its factorization.

133129202976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82344 (or 82333 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 133129202976 in words is "one hundred thirty-three billion, one hundred twenty-nine million, two hundred two thousand, nine hundred seventy-six".