131484144 has 160 divisors (see below), whose sum is σ = 397117440. Its totient is φ = 37094400.

The previous prime is 131484139. The next prime is 131484151. The reversal of 131484144 is 441484131.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474534 + ... + 474810.

It is an arithmetic number, because the mean of its divisors is an integer number (2481984).

Almost surely, 2^131484144 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 131484144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198558720).

131484144 is an abundant number, since it is smaller than the sum of its proper divisors (265633296).

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

131484144 is a wasteful number, since it uses less digits than its factorization.

131484144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 353 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 131484144 is about 11466.6535658840. The cubic root of 131484144 is about 508.5001996540.

It can be divided in two parts, 1314 and 84144, that added together give a palindrome (85458).

The spelling of 131484144 in words is "one hundred thirty-one million, four hundred eighty-four thousand, one hundred forty-four".