132352889760 has 768 divisors, whose sum is σ = 573364915200. Its totient is φ = 27766996992.

The previous prime is 132352889731. The next prime is 132352889761. The reversal of 132352889760 is 67988253231.

132352889760 is a `hidden beast` number, since 1 + 3 + 23 + 528 + 8 + 97 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 132352889697 and 132352889706.

It is not an unprimeable number, because it can be changed into a prime (132352889761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77443786 + ... + 77445494.

It is an arithmetic number, because the mean of its divisors is an integer number (746568900).

Almost surely, 2^132352889760 is an apocalyptic number.

132352889760 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 132352889760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286682457600).

132352889760 is an abundant number, since it is smaller than the sum of its proper divisors (441012025440).

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

132352889760 is a wasteful number, since it uses less digits than its factorization.

132352889760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 132352889760 in words is "one hundred thirty-two billion, three hundred fifty-two million, eight hundred eighty-nine thousand, seven hundred sixty".