131812349760 has 2240 divisors, whose sum is σ = 624554219520. Its totient is φ = 25639649280.

The previous prime is 131812349741. The next prime is 131812349777. The reversal of 131812349760 is 67943218131.

131812349760 is a `hidden beast` number, since 1 + 3 + 1 + 81 + 23 + 497 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2804518057 + ... + 2804518103.

It is an arithmetic number, because the mean of its divisors is an integer number (278818848).

Almost surely, 2^131812349760 is an apocalyptic number.

131812349760 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 131812349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312277109760).

131812349760 is an abundant number, since it is smaller than the sum of its proper divisors (492741869760).

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

131812349760 is a wasteful number, since it uses less digits than its factorization.

131812349760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 131812349760 in words is "one hundred thirty-one billion, eight hundred twelve million, three hundred forty-nine thousand, seven hundred sixty".