132058128384 has 672 divisors, whose sum is σ = 487568565120. Its totient is φ = 34828517376.

The previous prime is 132058128373. The next prime is 132058128407. The reversal of 132058128384 is 483821850231.

132058128384 is a `hidden beast` number, since 1 + 32 + 0 + 581 + 2 + 8 + 38 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10158317562 + ... + 10158317574.

It is an arithmetic number, because the mean of its divisors is an integer number (725548460).

Almost surely, 2^132058128384 is an apocalyptic number.

132058128384 is a gapful number since it is divisible by the number (14) 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 132058128384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243784282560).

132058128384 is an abundant number, since it is smaller than the sum of its proper divisors (355510436736).

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

132058128384 is an frugal number, since it uses more digits than its factorization.

132058128384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 132058128384 in words is "one hundred thirty-two billion, fifty-eight million, one hundred twenty-eight thousand, three hundred eighty-four".