130020720 has 80 divisors (see below), whose sum is σ = 404572320. Its totient is φ = 34542592.

The previous prime is 130020677. The next prime is 130020731. The reversal of 130020720 is 27020031.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 130020720.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 75226 + ... + 76934.

It is an arithmetic number, because the mean of its divisors is an integer number (5057154).

Almost surely, 2^130020720 is an apocalyptic number.

130020720 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 130020720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202286160).

130020720 is an abundant number, since it is smaller than the sum of its proper divisors (274551600).

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

130020720 is a wasteful number, since it uses less digits than its factorization.

130020720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 130020720 is about 11402.6628468968. The cubic root of 130020720 is about 506.6066141507.

Adding to 130020720 its reverse (27020031), we get a palindrome (157040751).

The spelling of 130020720 in words is "one hundred thirty million, twenty thousand, seven hundred twenty".