130144681798272 has 128 divisors (see below), whose sum is σ = 384116432515200. Its totient is φ = 43380559411200.

The previous prime is 130144681798267. The next prime is 130144681798289. The reversal of 130144681798272 is 272897186441031.

130144681798272 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 4 + 468 + 17 + 98 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157655397 + ... + 158478747.

It is an arithmetic number, because the mean of its divisors is an integer number (3000909629025).

Almost surely, 2^{130144681798272} is an apocalyptic number.

130144681798272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130144681798272 is an abundant number, since it is smaller than the sum of its proper divisors (253971750716928).

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

130144681798272 is an equidigital number, since it uses as much as digits as its factorization.

130144681798272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869111 (or 869093 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 130144681798272 in words is "one hundred thirty trillion, one hundred forty-four billion, six hundred eighty-one million, seven hundred ninety-eight thousand, two hundred seventy-two".