131894146944 has 768 divisors, whose sum is σ = 488052864000. Its totient is φ = 33303232512.

The previous prime is 131894146897. The next prime is 131894147017. The reversal of 131894146944 is 449641498131.

It is a happy number.

131894146944 is a `hidden beast` number, since 1 + 3 + 189 + 414 + 6 + 9 + 44 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 186028062 + ... + 186028770.

It is an arithmetic number, because the mean of its divisors is an integer number (635485500).

Almost surely, 2^131894146944 is an apocalyptic number.

131894146944 is a gapful number since it is divisible by the number (14) 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 131894146944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244026432000).

131894146944 is an abundant number, since it is smaller than the sum of its proper divisors (356158717056).

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

131894146944 is a wasteful number, since it uses less digits than its factorization.

131894146944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 820 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 131894146944 in words is "one hundred thirty-one billion, eight hundred ninety-four million, one hundred forty-six thousand, nine hundred forty-four".