130144 has 36 divisors (see below), whose sum is σ = 301644. Its totient is φ = 55104.

The previous prime is 130127. The next prime is 130147. The reversal of 130144 is 441031.

130144 = T₄₇ + T₄₈ + ... + T₉₅.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130147) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1527 + ... + 1609.

It is an arithmetic number, because the mean of its divisors is an integer number (8379).

2¹³⁰¹⁴⁴ is an apocalyptic number.

130144 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 130144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150822).

130144 is an abundant number, since it is smaller than the sum of its proper divisors (171500).

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

130144 is an equidigital number, since it uses as much as digits as its factorization.

130144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 130144 is about 360.7547643483. The cubic root of 130144 is about 50.6766677703.

Adding to 130144 its reverse (441031), we get a palindrome (571175).

The spelling of 130144 in words is "one hundred thirty thousand, one hundred forty-four".