132766565218560 has 3168 divisors, whose sum is σ = 596139088473600. Its totient is φ = 27584185761792.

The previous prime is 132766565218537. The next prime is 132766565218591. The reversal of 132766565218560 is 65812565667231.

132766565218560 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 6 + 6 + 5 + 6 + 52 + 18 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 351 ways as a sum of consecutive naturals, for example, 667168669341 + ... + 667168669539.

Almost surely, 2^{132766565218560} is an apocalyptic number.

132766565218560 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 132766565218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298069544236800).

132766565218560 is an abundant number, since it is smaller than the sum of its proper divisors (463372523255040).

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

132766565218560 is an frugal number, since it uses more digits than its factorization.

132766565218560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 132766565218560 in words is "one hundred thirty-two trillion, seven hundred sixty-six billion, five hundred sixty-five million, two hundred eighteen thousand, five hundred sixty".