132020008743168 has 1728 divisors, whose sum is σ = 497836343047680. Its totient is φ = 32707274342400.

The previous prime is 132020008743121. The next prime is 132020008743169. The reversal of 132020008743168 is 861347800020231.

132020008743168 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 200 + 0 + 8 + 7 + 431 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (132020008743169) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 162786693483 + ... + 162786694293.

It is an arithmetic number, because the mean of its divisors is an integer number (288099735560).

Almost surely, 2^{132020008743168} is an apocalyptic number.

132020008743168 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 132020008743168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248918171523840).

132020008743168 is an abundant number, since it is smaller than the sum of its proper divisors (365816334304512).

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

132020008743168 is a wasteful number, since it uses less digits than its factorization.

132020008743168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

Adding to 132020008743168 its reverse (861347800020231), we get a palindrome (993367808763399).

The spelling of 132020008743168 in words is "one hundred thirty-two trillion, twenty billion, eight million, seven hundred forty-three thousand, one hundred sixty-eight".