133682224852512 has 768 divisors, whose sum is σ = 466949261721600. Its totient is φ = 36404400291840.

The previous prime is 133682224852487. The next prime is 133682224852571. The reversal of 133682224852512 is 215258422286331.

133682224852512 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 8 + 22 + 24 + 85 + 2 + 512 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10114408528 + ... + 10114421744.

It is an arithmetic number, because the mean of its divisors is an integer number (608006851200).

Almost surely, 2^{133682224852512} is an apocalyptic number.

133682224852512 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 133682224852512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233474630860800).

133682224852512 is an abundant number, since it is smaller than the sum of its proper divisors (333267036869088).

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

133682224852512 is a wasteful number, since it uses less digits than its factorization.

133682224852512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14086 (or 14072 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 133682224852512 in words is "one hundred thirty-three trillion, six hundred eighty-two billion, two hundred twenty-four million, eight hundred fifty-two thousand, five hundred twelve".