132610549800960 has 3584 divisors, whose sum is σ = 610812762624000. Its totient is φ = 27051687936000.

The previous prime is 132610549800887. The next prime is 132610549800977. The reversal of 132610549800960 is 69008945016231.

132610549800960 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 1 + 0 + 549 + 8 + 0 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

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 = 132610549800897 and 132610549800906.

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, 254530805500 + ... + 254530806020.

Almost surely, 2^{132610549800960} is an apocalyptic number.

132610549800960 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 132610549800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305406381312000).

132610549800960 is an abundant number, since it is smaller than the sum of its proper divisors (478202212823040).

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

132610549800960 is an equidigital number, since it uses as much as digits as its factorization.

132610549800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 132610549800960 in words is "one hundred thirty-two trillion, six hundred ten billion, five hundred forty-nine million, eight hundred thousand, nine hundred sixty".