130420142140320 has 144 divisors (see below), whose sum is σ = 446905452985992. Its totient is φ = 34634394501120.

The previous prime is 130420142140303. The next prime is 130420142140331. The reversal of 130420142140320 is 23041241024031.

130420142140320 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 201 + 421 + 4 + 0 + 32 + 0 = 666.

130420142140320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 90500137080336 + 39920005059984 = 9513156^2 + 6318228^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187556577 + ... + 188250656.

Almost surely, 2^{130420142140320} is an apocalyptic number.

130420142140320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130420142140320 is an abundant number, since it is smaller than the sum of its proper divisors (316485310845672).

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

130420142140320 is a wasteful number, since it uses less digits than its factorization.

130420142140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375807495 (or 375807484 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 130420142140320 its reverse (23041241024031), we get a palindrome (153461383164351).

The spelling of 130420142140320 in words is "one hundred thirty trillion, four hundred twenty billion, one hundred forty-two million, one hundred forty thousand, three hundred twenty".