130006144 has 32 divisors (see below), whose sum is σ = 260895600. Its totient is φ = 64526592.

The previous prime is 130006139. The next prime is 130006147. The reversal of 130006144 is 441600031.

It is a happy number.

130006144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (130006147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14139 + ... + 21445.

Almost surely, 2^130006144 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 130006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130447800).

130006144 is an abundant number, since it is smaller than the sum of its proper divisors (130889456).

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

130006144 is an equidigital number, since it uses as much as digits as its factorization.

130006144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7460 (or 7448 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 130006144 is about 11402.0236800315. The cubic root of 130006144 is about 506.5876823631.

Adding to 130006144 its reverse (441600031), we get a palindrome (571606175).

The spelling of 130006144 in words is "one hundred thirty million, six thousand, one hundred forty-four".