133269566976 has 960 divisors, whose sum is σ = 500467968000. Its totient is φ = 34470199296.

The previous prime is 133269566933. The next prime is 133269567001. The reversal of 133269566976 is 679665962331.

133269566976 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 69 + 566 + 9 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 894426550 + ... + 894426698.

It is an arithmetic number, because the mean of its divisors is an integer number (521320800).

Almost surely, 2^133269566976 is an apocalyptic number.

133269566976 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 133269566976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250233984000).

133269566976 is an abundant number, since it is smaller than the sum of its proper divisors (367198401024).

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

133269566976 is an equidigital number, since it uses as much as digits as its factorization.

133269566976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 253 counting only the distinct ones).

The product of its digits is 66134880, while the sum is 63.

The spelling of 133269566976 in words is "one hundred thirty-three billion, two hundred sixty-nine million, five hundred sixty-six thousand, nine hundred seventy-six".