130144551501312 has 240 divisors, whose sum is σ = 387756393847680. Its totient is φ = 41978422886400.

The previous prime is 130144551501269. The next prime is 130144551501313. The reversal of 130144551501312 is 213105155441031.

130144551501312 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 4 + 4 + 5 + 515 + 0 + 131 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130144551501313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1961127012 + ... + 1961193372.

It is an arithmetic number, because the mean of its divisors is an integer number (1615651641032).

Almost surely, 2^{130144551501312} is an apocalyptic number.

130144551501312 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 130144551501312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193878196923840).

130144551501312 is an abundant number, since it is smaller than the sum of its proper divisors (257611842346368).

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

130144551501312 is a wasteful number, since it uses less digits than its factorization.

130144551501312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80145 (or 80126 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 130144551501312 in words is "one hundred thirty trillion, one hundred forty-four billion, five hundred fifty-one million, five hundred one thousand, three hundred twelve".