131163791736528 has 320 divisors, whose sum is σ = 381352761504000. Its totient is φ = 43160506583040.

The previous prime is 131163791736493. The next prime is 131163791736557. The reversal of 131163791736528 is 825637197361131.

131163791736528 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 6 + 3 + 79 + 1 + 7 + 36 + 528 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12845337343 + ... + 12845347553.

It is an arithmetic number, because the mean of its divisors is an integer number (1191727379700).

Almost surely, 2^{131163791736528} is an apocalyptic number.

131163791736528 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 131163791736528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190676380752000).

131163791736528 is an abundant number, since it is smaller than the sum of its proper divisors (250188969767472).

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

131163791736528 is a wasteful number, since it uses less digits than its factorization.

131163791736528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11587 (or 11575 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The spelling of 131163791736528 in words is "one hundred thirty-one trillion, one hundred sixty-three billion, seven hundred ninety-one million, seven hundred thirty-six thousand, five hundred twenty-eight".