130195952640 has 1760 divisors, whose sum is σ = 559257431040. Its totient is φ = 28665446400.

The previous prime is 130195952611. The next prime is 130195952641. The reversal of 130195952640 is 46259591031.

130195952640 is a `hidden beast` number, since 1 + 3 + 0 + 19 + 595 + 2 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130195952641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3175511020 + ... + 3175511060.

It is an arithmetic number, because the mean of its divisors is an integer number (317759904).

Almost surely, 2^130195952640 is an apocalyptic number.

130195952640 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 130195952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279628715520).

130195952640 is an abundant number, since it is smaller than the sum of its proper divisors (429061478400).

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

130195952640 is a wasteful number, since it uses less digits than its factorization.

130195952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 130195952640 in words is "one hundred thirty billion, one hundred ninety-five million, nine hundred fifty-two thousand, six hundred forty".