131535306048 has 112 divisors (see below), whose sum is σ = 370552553280. Its totient is φ = 41035259904.

The previous prime is 131535306047. The next prime is 131535306079. The reversal of 131535306048 is 840603535131.

It is a junction number, because it is equal to n+sod(n) for n = 131535305997 and 131535306015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131535306047) 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 15 ways as a sum of consecutive naturals, for example, 471690 + ... + 696822.

It is an arithmetic number, because the mean of its divisors is an integer number (3308504940).

Almost surely, 2^131535306048 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 131535306048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185276276640).

131535306048 is an abundant number, since it is smaller than the sum of its proper divisors (239017247232).

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

131535306048 is a wasteful number, since it uses less digits than its factorization.

131535306048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225344 (or 225334 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 131535306048 in words is "one hundred thirty-one billion, five hundred thirty-five million, three hundred six thousand, forty-eight".