132742440960 has 192 divisors, whose sum is σ = 449654587200. Its totient is φ = 33315618816.

The previous prime is 132742440937. The next prime is 132742440967. The reversal of 132742440960 is 69044247231.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (132742440967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395151 + ... + 649329.

It is an arithmetic number, because the mean of its divisors is an integer number (2341950975).

Almost surely, 2^132742440960 is an apocalyptic number.

132742440960 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 132742440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224827293600).

132742440960 is an abundant number, since it is smaller than the sum of its proper divisors (316912146240).

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

132742440960 is a wasteful number, since it uses less digits than its factorization.

132742440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254226 (or 254206 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 132742440960 in words is "one hundred thirty-two billion, seven hundred forty-two million, four hundred forty thousand, nine hundred sixty".