132066144 has 144 divisors (see below), whose sum is σ = 433873440. Its totient is φ = 37324800.

The previous prime is 132066133. The next prime is 132066163. The reversal of 132066144 is 441660231.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219444 + ... + 220044.

It is an arithmetic number, because the mean of its divisors is an integer number (3013010).

Almost surely, 2^132066144 is an apocalyptic number.

132066144 is a gapful number since it is divisible by the number (14) 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 132066144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216936720).

132066144 is an abundant number, since it is smaller than the sum of its proper divisors (301807296).

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

132066144 is a wasteful number, since it uses less digits than its factorization.

132066144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 132066144 is about 11492.0034806817. The cubic root of 132066144 is about 509.2493686382.

The spelling of 132066144 in words is "one hundred thirty-two million, sixty-six thousand, one hundred forty-four".