132724600320 has 1280 divisors, whose sum is σ = 518286827520. Its totient is φ = 28665446400.

The previous prime is 132724600291. The next prime is 132724600321. The reversal of 132724600320 is 23006427231.

132724600320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132724600321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2175813090 + ... + 2175813150.

It is an arithmetic number, because the mean of its divisors is an integer number (404911584).

Almost surely, 2^132724600320 is an apocalyptic number.

132724600320 is a gapful number since it is divisible by the number (10) 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 132724600320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259143413760).

132724600320 is an abundant number, since it is smaller than the sum of its proper divisors (385562227200).

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

132724600320 is a wasteful number, since it uses less digits than its factorization.

132724600320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 132724600320 in words is "one hundred thirty-two billion, seven hundred twenty-four million, six hundred thousand, three hundred twenty".