132079546368 has 1248 divisors, whose sum is σ = 523385241600. Its totient is φ = 31054233600.

The previous prime is 132079546367. The next prime is 132079546373. The reversal of 132079546368 is 863645970231.

132079546368 is a `hidden beast` number, since 1 + 3 + 20 + 79 + 546 + 3 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132079546367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1671892953 + ... + 1671893031.

It is an arithmetic number, because the mean of its divisors is an integer number (419379200).

It is a 1-persistent number, because it is pandigital, but 2⋅132079546368 = 264159092736 is not.

Almost surely, 2^132079546368 is an apocalyptic number.

132079546368 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 132079546368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261692620800).

132079546368 is an abundant number, since it is smaller than the sum of its proper divisors (391305695232).

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

132079546368 is a wasteful number, since it uses less digits than its factorization.

132079546368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 132079546368 in words is "one hundred thirty-two billion, seventy-nine million, five hundred forty-six thousand, three hundred sixty-eight".