130643712 has 144 divisors (see below), whose sum is σ = 396617760. Its totient is φ = 42393600.

The previous prime is 130643663. The next prime is 130643713. The reversal of 130643712 is 217346031.

130643712 is a `hidden beast` number, since 1 + 3 + 0 + 643 + 7 + 12 = 666.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130643713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283162 + ... + 283622.

It is an arithmetic number, because the mean of its divisors is an integer number (2754290).

Almost surely, 2^130643712 is an apocalyptic number.

130643712 is a gapful number since it is divisible by the number (12) 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 130643712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198308880).

130643712 is an abundant number, since it is smaller than the sum of its proper divisors (265974048).

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

130643712 is an equidigital number, since it uses as much as digits as its factorization.

130643712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 130643712 is about 11429.9480313779. The cubic root of 130643712 is about 507.4144575016.

Adding to 130643712 its reverse (217346031), we get a palindrome (347989743).

It can be divided in two parts, 1306437 and 12, that added together give a square (1306449 = 1143²).

The spelling of 130643712 in words is "one hundred thirty million, six hundred forty-three thousand, seven hundred twelve".