131134545344 has 224 divisors, whose sum is σ = 310027929600. Its totient is φ = 54369792000.

The previous prime is 131134545343. The next prime is 131134545349. The reversal of 131134545344 is 443545431131.

131134545344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 131134545298 and 131134545307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131134545343) 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 31 ways as a sum of consecutive naturals, for example, 94955534 + ... + 94956914.

Almost surely, 2^131134545344 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 131134545344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155013964800).

131134545344 is an abundant number, since it is smaller than the sum of its proper divisors (178893384256).

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

131134545344 is a wasteful number, since it uses less digits than its factorization.

131134545344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1673 counting only the distinct ones).

The product of its digits is 172800, while the sum is 38.

Adding to 131134545344 its reverse (443545431131), we get a palindrome (574679976475).

The spelling of 131134545344 in words is "one hundred thirty-one billion, one hundred thirty-four million, five hundred forty-five thousand, three hundred forty-four".