131998203440928 has 672 divisors, whose sum is σ = 458334207777600. Its totient is φ = 36969915801600.

The previous prime is 131998203440927. The next prime is 131998203440981. The reversal of 131998203440928 is 829044302899131.

131998203440928 is a `hidden beast` number, since 1 + 3 + 1 + 99 + 82 + 0 + 3 + 440 + 9 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (131998203440923) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 199567468 + ... + 200227796.

It is an arithmetic number, because the mean of its divisors is an integer number (682044952050).

Almost surely, 2^{131998203440928} is an apocalyptic number.

131998203440928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131998203440928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229167103888800).

131998203440928 is an abundant number, since it is smaller than the sum of its proper divisors (326336004336672).

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

131998203440928 is a wasteful number, since it uses less digits than its factorization.

131998203440928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660428 (or 660405 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 131998203440928 in words is "one hundred thirty-one trillion, nine hundred ninety-eight billion, two hundred three million, four hundred forty thousand, nine hundred twenty-eight".