132020768880 has 1920 divisors, whose sum is σ = 648918466560. Its totient is φ = 23141376000.

The previous prime is 132020768833. The next prime is 132020768881. The reversal of 132020768880 is 88867020231.

132020768880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132020768881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 424503925 + ... + 424504235.

It is an arithmetic number, because the mean of its divisors is an integer number (337978368).

Almost surely, 2^132020768880 is an apocalyptic number.

132020768880 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 132020768880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324459233280).

132020768880 is an abundant number, since it is smaller than the sum of its proper divisors (516897697680).

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

132020768880 is a wasteful number, since it uses less digits than its factorization.

132020768880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 132020768880 in words is "one hundred thirty-two billion, twenty million, seven hundred sixty-eight thousand, eight hundred eighty".