132859832040 has 768 divisors, whose sum is σ = 499293849600. Its totient is φ = 31570560000.

The previous prime is 132859831991. The next prime is 132859832141. The reversal of 132859832040 is 40238958231.

132859832040 is a `hidden beast` number, since 1 + 3 + 28 + 598 + 32 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 529321915 + ... + 529322165.

It is an arithmetic number, because the mean of its divisors is an integer number (650122200).

Almost surely, 2^132859832040 is an apocalyptic number.

132859832040 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 132859832040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249646924800).

132859832040 is an abundant number, since it is smaller than the sum of its proper divisors (366434017560).

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

132859832040 is a wasteful number, since it uses less digits than its factorization.

132859832040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 132859832040 in words is "one hundred thirty-two billion, eight hundred fifty-nine million, eight hundred thirty-two thousand, forty".