130075920 has 180 divisors, whose sum is σ = 473468580. Its totient is φ = 31988736.

The previous prime is 130075909. The next prime is 130075927. The reversal of 130075920 is 29570031.

It can be written as a sum of positive squares in 6 ways, for example, as 27499536 + 102576384 = 5244^2 + 10128^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (130075927) 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 35 ways as a sum of consecutive naturals, for example, 121146 + ... + 122214.

It is an arithmetic number, because the mean of its divisors is an integer number (2630381).

Almost surely, 2^130075920 is an apocalyptic number.

130075920 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 130075920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236734290).

130075920 is an abundant number, since it is smaller than the sum of its proper divisors (343392660).

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

130075920 is a wasteful number, since it uses less digits than its factorization.

130075920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 130075920 is about 11405.0830772950. The cubic root of 130075920 is about 506.6782969014.

The spelling of 130075920 in words is "one hundred thirty million, seventy-five thousand, nine hundred twenty".