132305241040 has 120 divisors (see below), whose sum is σ = 357954901920. Its totient is φ = 45346178304.

The previous prime is 132305241023. The next prime is 132305241071. The reversal of 132305241040 is 40142503231.

It is a junction number, because it is equal to n+sod(n) for n = 132305240996 and 132305241014.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 22274391 + ... + 22280329.

It is an arithmetic number, because the mean of its divisors is an integer number (2982957516).

Almost surely, 2^132305241040 is an apocalyptic number.

132305241040 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 132305241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178977450960).

132305241040 is an abundant number, since it is smaller than the sum of its proper divisors (225649660880).

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

132305241040 is a wasteful number, since it uses less digits than its factorization.

132305241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11649 (or 11636 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 132305241040 its reverse (40142503231), we get a palindrome (172447744271).

The spelling of 132305241040 in words is "one hundred thirty-two billion, three hundred five million, two hundred forty-one thousand, forty".