133128270912 has 1008 divisors, whose sum is σ = 476820536832. Its totient is φ = 32606945280.

The previous prime is 133128270911. The next prime is 133128270917. The reversal of 133128270912 is 219072821331.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (133128270911) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1823674908 + ... + 1823674980.

Almost surely, 2^133128270912 is an apocalyptic number.

133128270912 is a gapful number since it is divisible by the number (12) 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 133128270912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238410268416).

133128270912 is an abundant number, since it is smaller than the sum of its proper divisors (343692265920).

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

133128270912 is a wasteful number, since it uses less digits than its factorization.

133128270912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 133128270912 in words is "one hundred thirty-three billion, one hundred twenty-eight million, two hundred seventy thousand, nine hundred twelve".