131088384000 has 864 divisors, whose sum is σ = 544385028096. Its totient is φ = 29727129600.

The previous prime is 131088383947. The next prime is 131088384013. The reversal of 131088384000 is 483880131.

131088384000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1032191937 + ... + 1032192063.

It is an arithmetic number, because the mean of its divisors is an integer number (630075264).

Almost surely, 2^131088384000 is an apocalyptic number.

131088384000 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 131088384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272192514048).

131088384000 is an abundant number, since it is smaller than the sum of its proper divisors (413296644096).

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

131088384000 is an frugal number, since it uses more digits than its factorization.

131088384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 131088384000 in words is "one hundred thirty-one billion, eighty-eight million, three hundred eighty-four thousand".