131794371840 has 288 divisors, whose sum is σ = 440025255936. Its totient is φ = 33555456000.

The previous prime is 131794371829. The next prime is 131794371883. The reversal of 131794371840 is 48173497131.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 131794371840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66327327 + ... + 66329313.

It is an arithmetic number, because the mean of its divisors is an integer number (1527865472).

Almost surely, 2^131794371840 is an apocalyptic number.

131794371840 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 131794371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220012627968).

131794371840 is an abundant number, since it is smaller than the sum of its proper divisors (308230884096).

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

131794371840 is a wasteful number, since it uses less digits than its factorization.

131794371840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 131794371840 in words is "one hundred thirty-one billion, seven hundred ninety-four million, three hundred seventy-one thousand, eight hundred forty".