132013541314144 has 48 divisors (see below), whose sum is σ = 299167377868800. Its totient is φ = 56170201532544.

The previous prime is 132013541314141. The next prime is 132013541314241. The reversal of 132013541314144 is 441413145310231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132013541314141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2119919104 + ... + 2119981375.

It is an arithmetic number, because the mean of its divisors is an integer number (6232653705600).

Almost surely, 2^{132013541314144} is an apocalyptic number.

132013541314144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132013541314144 is an abundant number, since it is smaller than the sum of its proper divisors (167153836554656).

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

132013541314144 is a wasteful number, since it uses less digits than its factorization.

132013541314144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4239900635 (or 4239900627 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

Adding to 132013541314144 its reverse (441413145310231), we get a palindrome (573426686624375).

The spelling of 132013541314144 in words is "one hundred thirty-two trillion, thirteen billion, five hundred forty-one million, three hundred fourteen thousand, one hundred forty-four".