130638144 has 112 divisors (see below), whose sum is σ = 425468288. Its totient is φ = 34449408.

The previous prime is 130638139. The next prime is 130638187. The reversal of 130638144 is 441836031.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13734 + ... + 21210.

It is an arithmetic number, because the mean of its divisors is an integer number (3798824).

Almost surely, 2^130638144 is an apocalyptic number.

130638144 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 130638144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212734144).

130638144 is an abundant number, since it is smaller than the sum of its proper divisors (294830144).

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

130638144 is a wasteful number, since it uses less digits than its factorization.

130638144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7512 (or 7502 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 130638144 is about 11429.7044581214. The cubic root of 130638144 is about 507.4072487765.

The spelling of 130638144 in words is "one hundred thirty million, six hundred thirty-eight thousand, one hundred forty-four".