132114241314144 has 144 divisors (see below), whose sum is σ = 398675491486272. Its totient is φ = 43013938923648.

The previous prime is 132114241314091. The next prime is 132114241314239. The reversal of 132114241314144 is 441413142411231.

132114241314144 is a `hidden beast` number, since 1 + 3 + 21 + 1 + 42 + 413 + 141 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 132114241314099 and 132114241314108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197223774 + ... + 197892509.

It is an arithmetic number, because the mean of its divisors is an integer number (2768579801988).

Almost surely, 2^{132114241314144} is an apocalyptic number.

It is an amenable number.

132114241314144 is an abundant number, since it is smaller than the sum of its proper divisors (266561250172128).

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

132114241314144 is an equidigital number, since it uses as much as digits as its factorization.

132114241314144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395116351 (or 395116331 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

Adding to 132114241314144 its reverse (441413142411231), we get a palindrome (573527383725375).

The spelling of 132114241314144 in words is "one hundred thirty-two trillion, one hundred fourteen billion, two hundred forty-one million, three hundred fourteen thousand, one hundred forty-four".