132066064 has 75 divisors (see below), whose sum is σ = 294465497. Its totient is φ = 57368064.

The previous prime is 132066059. The next prime is 132066071. The reversal of 132066064 is 460660231.

The square root of 132066064 is 11492.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 120560400 + 11505664 = 10980^2 + 3392^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7768584 + ... + 7768600.

Almost surely, 2^132066064 is an apocalyptic number.

132066064 is the 11492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132066064

132066064 is an abundant number, since it is smaller than the sum of its proper divisors (162399433).

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

132066064 is an frugal number, since it uses more digits than its factorization.

132066064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The cubic root of 132066064 is about 509.2492658110.

Multiplying 132066064 by its product of nonzero digits (5184), we get a square (684630475776 = 827424²).

The spelling of 132066064 in words is "one hundred thirty-two million, sixty-six thousand, sixty-four".