131082482304 has 512 divisors, whose sum is σ = 422080896000. Its totient is φ = 39907676160.

The previous prime is 131082482273. The next prime is 131082482327. The reversal of 131082482304 is 403284280131.

It is a happy number.

131082482304 is a `hidden beast` number, since 1 + 3 + 108 + 248 + 2 + 304 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 396019419 + ... + 396019749.

It is an arithmetic number, because the mean of its divisors is an integer number (824376750).

Almost surely, 2^131082482304 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 131082482304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211040448000).

131082482304 is an abundant number, since it is smaller than the sum of its proper divisors (290998413696).

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

131082482304 is a wasteful number, since it uses less digits than its factorization.

131082482304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 131082482304 in words is "one hundred thirty-one billion, eighty-two million, four hundred eighty-two thousand, three hundred four".