131144544 has 72 divisors (see below), whose sum is σ = 376648272. Its totient is φ = 43280640.

The previous prime is 131144543. The next prime is 131144569. The reversal of 131144544 is 445441131.

131144544 is a `hidden beast` number, since 1 + 3 + 114 + 4 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131144543) 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 11 ways as a sum of consecutive naturals, for example, 27454 + ... + 31874.

It is an arithmetic number, because the mean of its divisors is an integer number (5231226).

Almost surely, 2^131144544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131144544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188324136).

131144544 is an abundant number, since it is smaller than the sum of its proper divisors (245503728).

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

131144544 is a wasteful number, since it uses less digits than its factorization.

131144544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4540 (or 4529 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 131144544 is about 11451.8358353585. The cubic root of 131144544 is about 508.0620338819.

Adding to 131144544 its reverse (445441131), we get a palindrome (576585675).

The spelling of 131144544 in words is "one hundred thirty-one million, one hundred forty-four thousand, five hundred forty-four".