131722200788640 has 576 divisors, whose sum is σ = 529777184832000. Its totient is φ = 27202918901760.

The previous prime is 131722200788611. The next prime is 131722200788671. The reversal of 131722200788640 is 46887002227131.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40609611 + ... + 43733109.

It is an arithmetic number, because the mean of its divisors is an integer number (919752057000).

Almost surely, 2^{131722200788640} is an apocalyptic number.

131722200788640 is a gapful number since it is divisible by the number (10) 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 131722200788640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264888592416000).

131722200788640 is an abundant number, since it is smaller than the sum of its proper divisors (398054984043360).

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

131722200788640 is a wasteful number, since it uses less digits than its factorization.

131722200788640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3123705 (or 3123690 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 131722200788640 in words is "one hundred thirty-one trillion, seven hundred twenty-two billion, two hundred million, seven hundred eighty-eight thousand, six hundred forty".