132305727024 has 160 divisors (see below), whose sum is σ = 385550323200. Its totient is φ = 43431655680.

The previous prime is 132305727017. The next prime is 132305727053. The reversal of 132305727024 is 420727503231.

132305727024 is a `hidden beast` number, since 1 + 32 + 30 + 572 + 7 + 0 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 132305727024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35669682 + ... + 35673390.

It is an arithmetic number, because the mean of its divisors is an integer number (2409689520).

Almost surely, 2^132305727024 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 132305727024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192775161600).

132305727024 is an abundant number, since it is smaller than the sum of its proper divisors (253244596176).

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

132305727024 is a wasteful number, since it uses less digits than its factorization.

132305727024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4960 (or 4948 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

It can be divided in two parts, 132305 and 727024, that added together give a square (859329 = 927²).

The spelling of 132305727024 in words is "one hundred thirty-two billion, three hundred five million, seven hundred twenty-seven thousand, twenty-four".