131878969344 has 448 divisors, whose sum is σ = 419787506880. Its totient is φ = 41278242816.

The previous prime is 131878969319. The next prime is 131878969351. The reversal of 131878969344 is 443969878131.

131878969344 is a `hidden beast` number, since 131 + 8 + 78 + 96 + 9 + 344 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304570152 + ... + 304570584.

It is an arithmetic number, because the mean of its divisors is an integer number (937025685).

Almost surely, 2^131878969344 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 131878969344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209893753440).

131878969344 is an abundant number, since it is smaller than the sum of its proper divisors (287908537536).

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

131878969344 is an frugal number, since it uses more digits than its factorization.

131878969344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 455 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 131878969344 in words is "one hundred thirty-one billion, eight hundred seventy-eight million, nine hundred sixty-nine thousand, three hundred forty-four".