132362442216 has 192 divisors, whose sum is σ = 381888000000. Its totient is φ = 41325863040.

The previous prime is 132362442203. The next prime is 132362442217. The reversal of 132362442216 is 612244263231.

132362442216 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 624 + 4 + 2 + 21 + 6 = 666.

It is a super-2 number, since 2×132362442216² (a number of 23 digits) contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (132362442217) 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, 26475285 + ... + 26480283.

It is an arithmetic number, because the mean of its divisors is an integer number (1989000000).

Almost surely, 2^132362442216 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 132362442216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190944000000).

132362442216 is an abundant number, since it is smaller than the sum of its proper divisors (249525557784).

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

132362442216 is a wasteful number, since it uses less digits than its factorization.

132362442216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5364 (or 5357 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 132362442216 in words is "one hundred thirty-two billion, three hundred sixty-two million, four hundred forty-two thousand, two hundred sixteen".