133327072468512 has 960 divisors, whose sum is σ = 474356306350080. Its totient is φ = 36290025160704.

The previous prime is 133327072468501. The next prime is 133327072468553. The reversal of 133327072468512 is 215864270723331.

It is a happy number.

133327072468512 is a `hidden beast` number, since 1 + 3 + 3 + 32 + 70 + 7 + 24 + 6 + 8 + 512 = 666.

It is a super-2 number, since 2×133327072468512² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1382195388 + ... + 1382291844.

It is an arithmetic number, because the mean of its divisors is an integer number (494121152448).

Almost surely, 2^{133327072468512} is an apocalyptic number.

133327072468512 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 133327072468512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237178153175040).

133327072468512 is an abundant number, since it is smaller than the sum of its proper divisors (341029233881568).

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

133327072468512 is a wasteful number, since it uses less digits than its factorization.

133327072468512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96655 (or 96638 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 133327072468512 in words is "one hundred thirty-three trillion, three hundred twenty-seven billion, seventy-two million, four hundred sixty-eight thousand, five hundred twelve".