132840886766976 has 384 divisors, whose sum is σ = 405847877479200. Its totient is φ = 41640464646144.

The previous prime is 132840886766941. The next prime is 132840886767011. The reversal of 132840886766976 is 679667688048231.

132840886766976 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 408 + 8 + 67 + 66 + 97 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (132840886766941) and next prime (132840886767011).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 132840886766895 and 132840886766904.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 242301675 + ... + 242849301.

Almost surely, 2^{132840886766976} is an apocalyptic number.

132840886766976 is a gapful number since it is divisible by the number (16) 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 132840886766976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202923938739600).

132840886766976 is an abundant number, since it is smaller than the sum of its proper divisors (273006990712224).

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

132840886766976 is a wasteful number, since it uses less digits than its factorization.

132840886766976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547866 (or 547851 counting only the distinct ones).

The product of its (nonzero) digits is 7023034368, while the sum is 81.

The spelling of 132840886766976 in words is "one hundred thirty-two trillion, eight hundred forty billion, eight hundred eighty-six million, seven hundred sixty-six thousand, nine hundred seventy-six".