130193958976 has 189 divisors, whose sum is σ = 282907393671. Its totient is φ = 59440702464.

The previous prime is 130193958971. The next prime is 130193958997. The reversal of 130193958976 is 679859391031.

The square root of 130193958976 is 360824.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 51973056576 + 78220902400 = 227976^2 + 279680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130193958971) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2456489766 + ... + 2456489818.

Almost surely, 2^130193958976 is an apocalyptic number.

130193958976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

130193958976 is the 360824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130193958976

130193958976 is an abundant number, since it is smaller than the sum of its proper divisors (152713434695).

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

130193958976 is an frugal number, since it uses more digits than its factorization.

130193958976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 61.

The spelling of 130193958976 in words is "one hundred thirty billion, one hundred ninety-three million, nine hundred fifty-eight thousand, nine hundred seventy-six".