130144112640 has 728 divisors, whose sum is σ = 489895191360. Its totient is φ = 33108590592.

The previous prime is 130144112639. The next prime is 130144112669. The reversal of 130144112640 is 46211441031.

130144112640 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 4 + 4 + 1 + 12 + 640 = 666.

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

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 343387971 + ... + 343388349.

Almost surely, 2^130144112640 is an apocalyptic number.

130144112640 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 130144112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244947595680).

130144112640 is an abundant number, since it is smaller than the sum of its proper divisors (359751078720).

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

130144112640 is an frugal number, since it uses more digits than its factorization.

130144112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 130144112640 its reverse (46211441031), we get a palindrome (176355553671).

The spelling of 130144112640 in words is "one hundred thirty billion, one hundred forty-four million, one hundred twelve thousand, six hundred forty".