130021920 has 144 divisors (see below), whose sum is σ = 507124800. Its totient is φ = 29716992.

The previous prime is 130021909. The next prime is 130021943. The reversal of 130021920 is 29120031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130021893 and 130021902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3631 + ... + 16529.

It is an arithmetic number, because the mean of its divisors is an integer number (3521700).

Almost surely, 2^130021920 is an apocalyptic number.

130021920 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 130021920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253562400).

130021920 is an abundant number, since it is smaller than the sum of its proper divisors (377102880).

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

130021920 is a wasteful number, since it uses less digits than its factorization.

130021920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12927 (or 12916 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 130021920 is about 11402.7154660633. The cubic root of 130021920 is about 506.6081726870.

Adding to 130021920 its reverse (29120031), we get a palindrome (159141951).

It can be divided in two parts, 1300 and 21920, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 130021920 in words is "one hundred thirty million, twenty-one thousand, nine hundred twenty".