130343375141952 has 896 divisors, whose sum is σ = 413247937536000. Its totient is φ = 36233745408000.

The previous prime is 130343375141849. The next prime is 130343375141957. The reversal of 130343375141952 is 259141573343031.

It is a junction number, because it is equal to n+sod(n) for n = 130343375141895 and 130343375141904.

It is not an unprimeable number, because it can be changed into a prime (130343375141957) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 126424223677 + ... + 126424224707.

It is an arithmetic number, because the mean of its divisors is an integer number (461214216000).

Almost surely, 2^{130343375141952} is an apocalyptic number.

130343375141952 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 130343375141952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206623968768000).

130343375141952 is an abundant number, since it is smaller than the sum of its proper divisors (282904562394048).

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

130343375141952 is a wasteful number, since it uses less digits than its factorization.

130343375141952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 51.

The spelling of 130343375141952 in words is "one hundred thirty trillion, three hundred forty-three billion, three hundred seventy-five million, one hundred forty-one thousand, nine hundred fifty-two".