131022852608 has 90 divisors (see below), whose sum is σ = 278390893803. Its totient is φ = 61592289280.

The previous prime is 131022852607. The next prime is 131022852613. The reversal of 131022852608 is 806258220131.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 114006171904 + 17016680704 = 337648^2 + 130448^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=255952.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131022852601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 139237418 + ... + 139238358.

Almost surely, 2^131022852608 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 131022852608

131022852608 is an abundant number, since it is smaller than the sum of its proper divisors (147368041195).

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

131022852608 is an frugal number, since it uses more digits than its factorization.

131022852608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The spelling of 131022852608 in words is "one hundred thirty-one billion, twenty-two million, eight hundred fifty-two thousand, six hundred eight".