130685142016 has 297 divisors, whose sum is σ = 314924438493. Its totient is φ = 54138839040.

The previous prime is 130685142001. The next prime is 130685142019. The reversal of 130685142016 is 610241586031.

It is a happy number.

The square root of 130685142016 is 361504.

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

It can be written as a sum of positive squares in only one way, i.e., 19332121600 + 111353020416 = 139040^2 + 333696^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130685142019) 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, 1654242265 + ... + 1654242343.

Almost surely, 2^130685142016 is an apocalyptic number.

130685142016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

130685142016 is the 361504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130685142016

130685142016 is an abundant number, since it is smaller than the sum of its proper divisors (184239296477).

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

130685142016 is an equidigital number, since it uses as much as digits as its factorization.

130685142016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 130685142016 in words is "one hundred thirty billion, six hundred eighty-five million, one hundred forty-two thousand, sixteen".