132354144 has 288 divisors, whose sum is σ = 445798080. Its totient is φ = 36900864.

The previous prime is 132354119. The next prime is 132354149. The reversal of 132354144 is 441453231.

It is a happy number.

132354144 is a `hidden beast` number, since 13 + 235 + 414 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132354149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2497222 + ... + 2497274.

It is an arithmetic number, because the mean of its divisors is an integer number (1547910).

Almost surely, 2^132354144 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 132354144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222899040).

132354144 is an abundant number, since it is smaller than the sum of its proper divisors (313443936).

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

132354144 is a wasteful number, since it uses less digits than its factorization.

132354144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 123 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 132354144 is about 11504.5271089254. The cubic root of 132354144 is about 509.6192775629.

The spelling of 132354144 in words is "one hundred thirty-two million, three hundred fifty-four thousand, one hundred forty-four".