132305326560 has 1536 divisors, whose sum is σ = 571318272000. Its totient is φ = 28217548800.

The previous prime is 132305326547. The next prime is 132305326609. The reversal of 132305326560 is 65623503231.

132305326560 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 0 + 532 + 65 + 60 = 666.

It is a super-2 number, since 2×132305326560² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 811689039 + ... + 811689201.

It is an arithmetic number, because the mean of its divisors is an integer number (371952000).

Almost surely, 2^132305326560 is an apocalyptic number.

132305326560 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 132305326560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285659136000).

132305326560 is an abundant number, since it is smaller than the sum of its proper divisors (439012945440).

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

132305326560 is a wasteful number, since it uses less digits than its factorization.

132305326560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 132305326560 its reverse (65623503231), we get a palindrome (197928829791).

The spelling of 132305326560 in words is "one hundred thirty-two billion, three hundred five million, three hundred twenty-six thousand, five hundred sixty".