132105523042304 has 144 divisors (see below), whose sum is σ = 311858680082040. Its totient is φ = 55771625226240.

The previous prime is 132105523042189. The next prime is 132105523042307. The reversal of 132105523042304 is 403240325501231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132105523042307) 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 11 ways as a sum of consecutive naturals, for example, 3100457 + ... + 16547624.

Almost surely, 2^{132105523042304} is an apocalyptic number.

132105523042304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132105523042304 is an abundant number, since it is smaller than the sum of its proper divisors (179753157039736).

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

132105523042304 is an equidigital number, since it uses as much as digits as its factorization.

132105523042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19648184 (or 19648157 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 132105523042304 its reverse (403240325501231), we get a palindrome (535345848543535).

The spelling of 132105523042304 in words is "one hundred thirty-two trillion, one hundred five billion, five hundred twenty-three million, forty-two thousand, three hundred four".