132611616 has 72 divisors (see below), whose sum is σ = 379979964. Its totient is φ = 43868160.

The previous prime is 132611603. The next prime is 132611617. The reversal of 132611616 is 616116231.

132611616 is a `hidden beast` number, since 1 + 32 + 6 + 11 + 616 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 128595600 + 4016016 = 11340^2 + 2004^2 .

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 132611616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132611617) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37776 + ... + 41136.

Almost surely, 2^132611616 is an apocalyptic number.

132611616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132611616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189989982).

132611616 is an abundant number, since it is smaller than the sum of its proper divisors (247368348).

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

132611616 is a wasteful number, since it uses less digits than its factorization.

132611616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514 (or 3503 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 132611616 is about 11515.7117018446. The cubic root of 132611616 is about 509.9495221090.

Adding to 132611616 its reverse (616116231), we get a palindrome (748727847).

The spelling of 132611616 in words is "one hundred thirty-two million, six hundred eleven thousand, six hundred sixteen".