131590144 has 96 divisors (see below), whose sum is σ = 307419840. Its totient is φ = 55148544.

The previous prime is 131590127. The next prime is 131590157. The reversal of 131590144 is 441095131.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 7 ways as a sum of consecutive naturals, for example, 960444 + ... + 960580.

It is an arithmetic number, because the mean of its divisors is an integer number (3202290).

Almost surely, 2^131590144 is an apocalyptic number.

131590144 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 131590144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153709920).

131590144 is an abundant number, since it is smaller than the sum of its proper divisors (175829696).

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

131590144 is an equidigital number, since it uses as much as digits as its factorization.

131590144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 131590144 is about 11471.2747330016. The cubic root of 131590144 is about 508.6368106586.

The spelling of 131590144 in words is "one hundred thirty-one million, five hundred ninety thousand, one hundred forty-four".