132616 has 24 divisors (see below), whose sum is σ = 275310. Its totient is φ = 59840.

The previous prime is 132611. The next prime is 132619. The reversal of 132616 is 616231.

It can be written as a sum of positive squares in only one way, i.e., 108900 + 23716 = 330^2 + 154^2 .

It is a junction number, because it is equal to n+sod(n) for n = 132593 and 132602.

It is not an unprimeable number, because it can be changed into a prime (132611) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 900 + ... + 1036.

2¹³²⁶¹⁶ 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 132616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137655).

132616 is an abundant number, since it is smaller than the sum of its proper divisors (142694).

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

132616 is a wasteful number, since it uses less digits than its factorization.

132616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 150 counting only the distinct ones).

The product of its digits is 216, while the sum is 19.

The square root of 132616 is about 364.1647978594. The cubic root of 132616 is about 50.9955141511.

Adding to 132616 its reverse (616231), we get a palindrome (748847).

The spelling of 132616 in words is "one hundred thirty-two thousand, six hundred sixteen".