130719436848000 has 7680 divisors, whose sum is σ = 685962562222080. Its totient is φ = 23911759872000.

The previous prime is 130719436847891. The next prime is 130719436848031. The reversal of 130719436848000 is 848634917031.

130719436848000 is a `hidden beast` number, since 1 + 3 + 0 + 71 + 94 + 3 + 6 + 8 + 480 + 0 + 0 = 666.

130719436848000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 387891503832 + ... + 387891504168.

It is an arithmetic number, because the mean of its divisors is an integer number (89318041956).

Almost surely, 2^{130719436848000} is an apocalyptic number.

130719436848000 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 130719436848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342981281111040).

130719436848000 is an abundant number, since it is smaller than the sum of its proper divisors (555243125374080).

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

130719436848000 is a wasteful number, since it uses less digits than its factorization.

130719436848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 130719436848000 in words is "one hundred thirty trillion, seven hundred nineteen billion, four hundred thirty-six million, eight hundred forty-eight thousand".