132220315645600 has 288 divisors, whose sum is σ = 397294881250176. Its totient is φ = 41843055513600.

The previous prime is 132220315645529. The next prime is 132220315645601. The reversal of 132220315645600 is 6546513022231.

It is a super-2 number, since 2×132220315645600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (132220315645601) 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, 1510337830 + ... + 1510425370.

It is an arithmetic number, because the mean of its divisors is an integer number (1379496115452).

Almost surely, 2^{132220315645600} is an apocalyptic number.

132220315645600 is a gapful number since it is divisible by the number (10) 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 132220315645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198647440625088).

132220315645600 is an abundant number, since it is smaller than the sum of its proper divisors (265074565604576).

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

132220315645600 is a wasteful number, since it uses less digits than its factorization.

132220315645600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108328 (or 108315 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

Adding to 132220315645600 its reverse (6546513022231), we get a palindrome (138766828667831).

The spelling of 132220315645600 in words is "one hundred thirty-two trillion, two hundred twenty billion, three hundred fifteen million, six hundred forty-five thousand, six hundred".