132109518544560 has 1280 divisors, whose sum is σ = 495648676454400. Its totient is φ = 32221044670464.

The previous prime is 132109518544537. The next prime is 132109518544567. The reversal of 132109518544560 is 65445815901231.

132109518544560 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 0 + 9 + 5 + 185 + 4 + 456 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 132109518544497 and 132109518544506.

It is not an unprimeable number, because it can be changed into a prime (132109518544567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 75361960644 + ... + 75361962396.

It is an arithmetic number, because the mean of its divisors is an integer number (387225528480).

Almost surely, 2^{132109518544560} is an apocalyptic number.

132109518544560 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 132109518544560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247824338227200).

132109518544560 is an abundant number, since it is smaller than the sum of its proper divisors (363539157909840).

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

132109518544560 is a wasteful number, since it uses less digits than its factorization.

132109518544560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 132109518544560 in words is "one hundred thirty-two trillion, one hundred nine billion, five hundred eighteen million, five hundred forty-four thousand, five hundred sixty".