132285726720 has 800 divisors, whose sum is σ = 548111124000. Its totient is φ = 29896998912.

The previous prime is 132285726719. The next prime is 132285726733. The reversal of 132285726720 is 27627582231.

132285726720 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 8 + 572 + 6 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1486356436 + ... + 1486356524.

It is an arithmetic number, because the mean of its divisors is an integer number (685138905).

Almost surely, 2^132285726720 is an apocalyptic number.

132285726720 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 132285726720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274055562000).

132285726720 is an abundant number, since it is smaller than the sum of its proper divisors (415825397280).

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

132285726720 is an frugal number, since it uses more digits than its factorization.

132285726720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 132285726720 in words is "one hundred thirty-two billion, two hundred eighty-five million, seven hundred twenty-six thousand, seven hundred twenty".