132505854624 has 288 divisors, whose sum is σ = 447002285184. Its totient is φ = 36703549440.

The previous prime is 132505854619. The next prime is 132505854643. The reversal of 132505854624 is 426458505231.

132505854624 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 0 + 585 + 4 + 62 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 132505854624.

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, 4226334 + ... + 4257570.

It is an arithmetic number, because the mean of its divisors is an integer number (1552091268).

Almost surely, 2^132505854624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132505854624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223501142592).

132505854624 is an abundant number, since it is smaller than the sum of its proper divisors (314496430560).

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

132505854624 is a wasteful number, since it uses less digits than its factorization.

132505854624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31380 (or 31369 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 132505854624 in words is "one hundred thirty-two billion, five hundred five million, eight hundred fifty-four thousand, six hundred twenty-four".