132966144 has 72 divisors (see below), whose sum is σ = 393224720. Its totient is φ = 44319744.

The previous prime is 132966137. The next prime is 132966193. The reversal of 132966144 is 441669231.

132966144 is a `hidden beast` number, since 1 + 32 + 9 + 6 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 132966099 and 132966108.

It is a congruent number.

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, 2707 + ... + 16530.

Almost surely, 2^132966144 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 132966144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196612360).

132966144 is an abundant number, since it is smaller than the sum of its proper divisors (260258576).

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

132966144 is an equidigital number, since it uses as much as digits as its factorization.

132966144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19262 (or 19242 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 132966144 is about 11531.0946574902. The cubic root of 132966144 is about 510.4035560199.

The spelling of 132966144 in words is "one hundred thirty-two million, nine hundred sixty-six thousand, one hundred forty-four".