130767513984 has 384 divisors, whose sum is σ = 404427878400. Its totient is φ = 40436195328.

The previous prime is 130767513979. The next prime is 130767514021. The reversal of 130767513984 is 489315767031.

130767513984 is a `hidden beast` number, since 1 + 30 + 7 + 6 + 7 + 513 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 130767513984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 356314569 + ... + 356314935.

It is an arithmetic number, because the mean of its divisors is an integer number (1053197600).

Almost surely, 2^130767513984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130767513984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202213939200).

130767513984 is an abundant number, since it is smaller than the sum of its proper divisors (273660364416).

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

130767513984 is a wasteful number, since it uses less digits than its factorization.

130767513984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 130767513984 in words is "one hundred thirty billion, seven hundred sixty-seven million, five hundred thirteen thousand, nine hundred eighty-four".