132064144 has 40 divisors (see below), whose sum is σ = 266020920. Its totient is φ = 63436800.

The previous prime is 132064139. The next prime is 132064171. The reversal of 132064144 is 441460231.

It can be written as a sum of positive squares in 4 ways, for example, as 65804544 + 66259600 = 8112^2 + 8140^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111234 + ... + 112414.

It is an arithmetic number, because the mean of its divisors is an integer number (6650523).

Almost surely, 2^132064144 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 132064144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133010460).

132064144 is an abundant number, since it is smaller than the sum of its proper divisors (133956776).

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

132064144 is a wasteful number, since it uses less digits than its factorization.

132064144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 132064144 is about 11491.9164633233. The cubic root of 132064144 is about 509.2467979468.

The spelling of 132064144 in words is "one hundred thirty-two million, sixty-four thousand, one hundred forty-four".