131088384 has 180 divisors, whose sum is σ = 436194304. Its totient is φ = 37158912.

The previous prime is 131088379. The next prime is 131088389. The reversal of 131088384 is 483880131.

It is an interprime number because it is at equal distance from previous prime (131088379) and next prime (131088389).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131088389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1032129 + ... + 1032255.

Almost surely, 2^131088384 is an apocalyptic number.

131088384 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 131088384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218097152).

131088384 is an abundant number, since it is smaller than the sum of its proper divisors (305105920).

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

131088384 is an equidigital number, since it uses as much as digits as its factorization.

131088384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 139 counting only the distinct ones).

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

The square root of 131088384 is about 11449.3835641924. The cubic root of 131088384 is about 507.9895010954.

The spelling of 131088384 in words is "one hundred thirty-one million, eighty-eight thousand, three hundred eighty-four".