132848554960800 has 2160 divisors, whose sum is σ = 582766097582592. Its totient is φ = 29334580531200.

The previous prime is 132848554960789. The next prime is 132848554960871. The reversal of 132848554960800 is 8069455848231.

132848554960800 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 4 + 8 + 5 + 549 + 6 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 359 ways as a sum of consecutive naturals, for example, 96757868914 + ... + 96757870286.

Almost surely, 2^{132848554960800} is an apocalyptic number.

132848554960800 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 132848554960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291383048791296).

132848554960800 is an abundant number, since it is smaller than the sum of its proper divisors (449917542621792).

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

132848554960800 is a wasteful number, since it uses less digits than its factorization.

132848554960800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 132848554960800 in words is "one hundred thirty-two trillion, eight hundred forty-eight billion, five hundred fifty-four million, nine hundred sixty thousand, eight hundred".