133076662000128 has 4800 divisors, whose sum is σ = 572948846426880. Its totient is φ = 29892327505920.

The previous prime is 133076662000099. The next prime is 133076662000157. The reversal of 133076662000128 is 821000266670331.

It is an interprime number because it is at equal distance from previous prime (133076662000099) and next prime (133076662000157).

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 479 ways as a sum of consecutive naturals, for example, 419800195426 + ... + 419800195742.

Almost surely, 2^{133076662000128} is an apocalyptic number.

133076662000128 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 133076662000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286474423213440).

133076662000128 is an abundant number, since it is smaller than the sum of its proper divisors (439872184426752).

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

133076662000128 is a wasteful number, since it uses less digits than its factorization.

133076662000128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 133076662000128 in words is "one hundred thirty-three trillion, seventy-six billion, six hundred sixty-two million, one hundred twenty-eight", and thus it is an aban number.