132169107528 has 576 divisors, whose sum is σ = 418959216000. Its totient is φ = 37510201344.

The previous prime is 132169107527. The next prime is 132169107559. The reversal of 132169107528 is 825701961231.

132169107528 is a `hidden beast` number, since 1 + 3 + 2 + 16 + 9 + 107 + 528 = 666.

132169107528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (132169107527) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1235225251 + ... + 1235225357.

It is an arithmetic number, because the mean of its divisors is an integer number (727359750).

Almost surely, 2^132169107528 is an apocalyptic number.

132169107528 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 132169107528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209479608000).

132169107528 is an abundant number, since it is smaller than the sum of its proper divisors (286790108472).

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

132169107528 is a wasteful number, since it uses less digits than its factorization.

132169107528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 132169107528 in words is "one hundred thirty-two billion, one hundred sixty-nine million, one hundred seven thousand, five hundred twenty-eight".