130197603392640 has 384 divisors, whose sum is σ = 513997360905600. Its totient is φ = 29748921532416.

The previous prime is 130197603392599. The next prime is 130197603392657. The reversal of 130197603392640 is 46293306791031.

130197603392640 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 9 + 7 + 603 + 3 + 9 + 26 + 4 + 0 = 666.

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

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, 113656651 + ... + 114796469.

It is an arithmetic number, because the mean of its divisors is an integer number (1338534794025).

Almost surely, 2^{130197603392640} is an apocalyptic number.

130197603392640 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 130197603392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256998680452800).

130197603392640 is an abundant number, since it is smaller than the sum of its proper divisors (383799757512960).

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

130197603392640 is a wasteful number, since it uses less digits than its factorization.

130197603392640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142684 (or 1142669 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 130197603392640 in words is "one hundred thirty trillion, one hundred ninety-seven billion, six hundred three million, three hundred ninety-two thousand, six hundred forty".