132882141084000 has 2304 divisors, whose sum is σ = 565067734253568. Its totient is φ = 26519270400000.

The previous prime is 132882141083947. The next prime is 132882141084083. The reversal of 132882141084000 is 480141288231.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 210589763685 + ... + 210589764315.

It is an arithmetic number, because the mean of its divisors is an integer number (245255092992).

Almost surely, 2^{132882141084000} is an apocalyptic number.

132882141084000 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 132882141084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282533867126784).

132882141084000 is an abundant number, since it is smaller than the sum of its proper divisors (432185593169568).

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

132882141084000 is a wasteful number, since it uses less digits than its factorization.

132882141084000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The spelling of 132882141084000 in words is "one hundred thirty-two trillion, eight hundred eighty-two billion, one hundred forty-one million, eighty-four thousand".