132829773946560 has 448 divisors, whose sum is σ = 484849089532800. Its totient is φ = 34193023893504.

The previous prime is 132829773946537. The next prime is 132829773946577. The reversal of 132829773946560 is 65649377928231.

It is a happy number.

132829773946560 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 2 + 9 + 77 + 39 + 465 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1321152612 + ... + 1321253148.

It is a 2-persistent number, because it is pandigital, and so is 2⋅132829773946560 = 265659547893120, but 3⋅132829773946560 = 398489321839680 is not.

Almost surely, 2^{132829773946560} is an apocalyptic number.

132829773946560 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 132829773946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242424544766400).

132829773946560 is an abundant number, since it is smaller than the sum of its proper divisors (352019315586240).

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

132829773946560 is a wasteful number, since it uses less digits than its factorization.

132829773946560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105865 (or 105849 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 132829773946560 in words is "one hundred thirty-two trillion, eight hundred twenty-nine billion, seven hundred seventy-three million, nine hundred forty-six thousand, five hundred sixty".