132364554878976 has 960 divisors, whose sum is σ = 437696825610240. Its totient is φ = 34759413596160.

The previous prime is 132364554878957. The next prime is 132364554878977. The reversal of 132364554878976 is 679878455463231.

It is not an unprimeable number, because it can be changed into a prime (132364554878977) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21738304540 + ... + 21738310628.

It is an arithmetic number, because the mean of its divisors is an integer number (455934193344).

Almost surely, 2^{132364554878976} is an apocalyptic number.

132364554878976 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 132364554878976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218848412805120).

132364554878976 is an abundant number, since it is smaller than the sum of its proper divisors (305332270731264).

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

132364554878976 is an equidigital number, since it uses as much as digits as its factorization.

132364554878976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6258 (or 6232 counting only the distinct ones).

The product of its digits is 7315660800, while the sum is 78.

The spelling of 132364554878976 in words is "one hundred thirty-two trillion, three hundred sixty-four billion, five hundred fifty-four million, eight hundred seventy-eight thousand, nine hundred seventy-six".