130005420 has 96 divisors (see below), whose sum is σ = 377243328. Its totient is φ = 33426432.

The previous prime is 130005419. The next prime is 130005427. The reversal of 130005420 is 24500031.

130005420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

130005420 is a modest number, since divided by 5420 gives 1300 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 130005420.

It is not an unprimeable number, because it can be changed into a prime (130005427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348354 + ... + 348726.

It is an arithmetic number, because the mean of its divisors is an integer number (3929618).

Almost surely, 2^130005420 is an apocalyptic number.

130005420 is a gapful number since it is divisible by the number (10) 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 130005420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188621664).

130005420 is an abundant number, since it is smaller than the sum of its proper divisors (247237908).

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

130005420 is a wasteful number, since it uses less digits than its factorization.

130005420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 130005420 is about 11401.9919312373. The cubic root of 130005420 is about 506.5867419712.

Adding to 130005420 its reverse (24500031), we get a palindrome (154505451).

The spelling of 130005420 in words is "one hundred thirty million, five thousand, four hundred twenty".