131586048 has 216 divisors, whose sum is σ = 424815300. Its totient is φ = 39198720.

The previous prime is 131586019. The next prime is 131586073. The reversal of 131586048 is 840685131.

131586048 is a `hidden beast` number, since 1 + 31 + 586 + 0 + 48 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2230243 + ... + 2230301.

Almost surely, 2^131586048 is an apocalyptic number.

131586048 is a gapful number since it is divisible by the number (18) 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 131586048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212407650).

131586048 is an abundant number, since it is smaller than the sum of its proper divisors (293229252).

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

131586048 is a wasteful number, since it uses less digits than its factorization.

131586048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 131586048 is about 11471.0961987074. The cubic root of 131586048 is about 508.6315331661.

The spelling of 131586048 in words is "one hundred thirty-one million, five hundred eighty-six thousand, forty-eight".