130400544 has 48 divisors (see below), whose sum is σ = 344947680. Its totient is φ = 43130880.

The previous prime is 130400527. The next prime is 130400549. The reversal of 130400544 is 445004031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 130400544.

It is not an unprimeable number, because it can be changed into a prime (130400549) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7392 + ... + 17760.

It is an arithmetic number, because the mean of its divisors is an integer number (7186410).

Almost surely, 2^130400544 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 130400544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172473840).

130400544 is an abundant number, since it is smaller than the sum of its proper divisors (214547136).

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

130400544 is a wasteful number, since it uses less digits than its factorization.

130400544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10513 (or 10505 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 130400544 is about 11419.3057582324. The cubic root of 130400544 is about 507.0994440200.

Adding to 130400544 its reverse (445004031), we get a palindrome (575404575).

The spelling of 130400544 in words is "one hundred thirty million, four hundred thousand, five hundred forty-four".