132279533568 has 1024 divisors, whose sum is σ = 507335270400. Its totient is φ = 33124515840.

The previous prime is 132279533563. The next prime is 132279533569. The reversal of 132279533568 is 865335972231.

132279533568 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 79 + 5 + 3 + 3 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132279533563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2495840230 + ... + 2495840282.

It is an arithmetic number, because the mean of its divisors is an integer number (495444600).

Almost surely, 2^132279533568 is an apocalyptic number.

132279533568 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 132279533568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253667635200).

132279533568 is an abundant number, since it is smaller than the sum of its proper divisors (375055736832).

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

132279533568 is an equidigital number, since it uses as much as digits as its factorization.

132279533568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 109 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 132279533568 in words is "one hundred thirty-two billion, two hundred seventy-nine million, five hundred thirty-three thousand, five hundred sixty-eight".