130705920 has 320 divisors, whose sum is σ = 487111680. Its totient is φ = 33177600.

The previous prime is 130705907. The next prime is 130705937. The reversal of 130705920 is 29507031.

130705920 is a `hidden beast` number, since 1 + 3 + 0 + 70 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2142690 + ... + 2142750.

It is an arithmetic number, because the mean of its divisors is an integer number (1522224).

Almost surely, 2^130705920 is an apocalyptic number.

130705920 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 130705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243555840).

130705920 is an abundant number, since it is smaller than the sum of its proper divisors (356405760).

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

130705920 is an equidigital number, since it uses as much as digits as its factorization.

130705920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 102 counting only the distinct ones).

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

The square root of 130705920 is about 11432.6689797265. The cubic root of 130705920 is about 507.4949824380.

The spelling of 130705920 in words is "one hundred thirty million, seven hundred five thousand, nine hundred twenty".