131759844450 has 288 divisors, whose sum is σ = 362812403520. Its totient is φ = 31620326400.

The previous prime is 131759844413. The next prime is 131759844607. The reversal of 131759844450 is 54448957131.

It is a junction number, because it is equal to n+sod(n) for n = 131759844393 and 131759844402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 214942344 + ... + 214942956.

It is an arithmetic number, because the mean of its divisors is an integer number (1259765290).

Almost surely, 2^131759844450 is an apocalyptic number.

131759844450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131759844450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181406201760).

131759844450 is an abundant number, since it is smaller than the sum of its proper divisors (231052559070).

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

131759844450 is a wasteful number, since it uses less digits than its factorization.

131759844450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 131759844450 in words is "one hundred thirty-one billion, seven hundred fifty-nine million, eight hundred forty-four thousand, four hundred fifty".