132616224 has 96 divisors (see below), whose sum is σ = 416586240. Its totient is φ = 40801536.

The previous prime is 132616223. The next prime is 132616259. The reversal of 132616224 is 422616231.

132616224 is a `hidden beast` number, since 1 + 32 + 6 + 1 + 622 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132616223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5329 + ... + 17135.

It is an arithmetic number, because the mean of its divisors is an integer number (4339440).

Almost surely, 2^132616224 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 132616224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208293120).

132616224 is an abundant number, since it is smaller than the sum of its proper divisors (283970016).

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

132616224 is a wasteful number, since it uses less digits than its factorization.

132616224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11839 (or 11825 counting only the distinct ones).

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

The square root of 132616224 is about 11515.9117745839. The cubic root of 132616224 is about 509.9554286308.

The spelling of 132616224 in words is "one hundred thirty-two million, six hundred sixteen thousand, two hundred twenty-four".