130399864364176 has 135 divisors (see below), whose sum is σ = 280394807521899. Its totient is φ = 58704214060800.

The previous prime is 130399864364137. The next prime is 130399864364239. The reversal of 130399864364176 is 671463468993031.

The square root of 130399864364176 is 11419276.

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 36083135941776 + 94316728422400 = 6006924^2 + 9711680^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 54766846506 + ... + 54766848886.

Almost surely, 2^{130399864364176} is an apocalyptic number.

130399864364176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

130399864364176 is the 11419276-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130399864364176

130399864364176 is an abundant number, since it is smaller than the sum of its proper divisors (149994943157723).

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

130399864364176 is an frugal number, since it uses more digits than its factorization.

130399864364176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5010 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 70.

The spelling of 130399864364176 in words is "one hundred thirty trillion, three hundred ninety-nine billion, eight hundred sixty-four million, three hundred sixty-four thousand, one hundred seventy-six".