132576504579072 has 1760 divisors, whose sum is σ = 449716591095552. Its totient is φ = 38679865196544.

The previous prime is 132576504579067. The next prime is 132576504579083. The reversal of 132576504579072 is 270975405675231.

132576504579072 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 7 + 6 + 50 + 4 + 579 + 0 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 235482245863 + ... + 235482246425.

Almost surely, 2^{132576504579072} is an apocalyptic number.

132576504579072 is a gapful number since it is divisible by the number (12) 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 132576504579072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224858295547776).

132576504579072 is an abundant number, since it is smaller than the sum of its proper divisors (317140086516480).

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

132576504579072 is a wasteful number, since it uses less digits than its factorization.

132576504579072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 111132000, while the sum is 63.

The spelling of 132576504579072 in words is "one hundred thirty-two trillion, five hundred seventy-six billion, five hundred four million, five hundred seventy-nine thousand, seventy-two".