131752731226688 has 336 divisors, whose sum is σ = 316730929777920. Its totient is φ = 54000877117440.

The previous prime is 131752731226663. The next prime is 131752731226717. The reversal of 131752731226688 is 886622137257131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 131752731226688.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 743575481 + ... + 743752647.

It is an arithmetic number, because the mean of its divisors is an integer number (942651576720).

Almost surely, 2^{131752731226688} 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 131752731226688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158365464888960).

131752731226688 is an abundant number, since it is smaller than the sum of its proper divisors (184978198551232).

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

131752731226688 is a wasteful number, since it uses less digits than its factorization.

131752731226688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177386 (or 177365 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 62.

The spelling of 131752731226688 in words is "one hundred thirty-one trillion, seven hundred fifty-two billion, seven hundred thirty-one million, two hundred twenty-six thousand, six hundred eighty-eight".