130948336746756 has 45 divisors (see below), whose sum is σ = 342325357064229. Its totient is φ = 43649376922656.

The previous prime is 130948336746727. The next prime is 130948336746779. The reversal of 130948336746756 is 657647633849031.

The square root of 130948336746756 is 11443266.

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

130948336746756 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 4 + 83 + 36 + 7 + 467 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35948538404100 + 94999798342656 = 5995710^2 + 9746784^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 205660920 + ... + 206296656.

Almost surely, 2^{130948336746756} is an apocalyptic number.

130948336746756 is the 11443266-th square number.

It is an amenable number.

130948336746756 is an abundant number, since it is smaller than the sum of its proper divisors (211377020317473).

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

130948336746756 is an frugal number, since it uses more digits than its factorization.

130948336746756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271490 (or 635742 counting only the distinct ones).

The product of its (nonzero) digits is 1646023680, while the sum is 72.

The spelling of 130948336746756 in words is "one hundred thirty trillion, nine hundred forty-eight billion, three hundred thirty-six million, seven hundred forty-six thousand, seven hundred fifty-six".