130064094736 has 45 divisors (see below), whose sum is σ = 261072425991. Its totient is φ = 62769366912.

The previous prime is 130064094701. The next prime is 130064094737. The reversal of 130064094736 is 637490460031.

The square root of 130064094736 is 360644.

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 13373534736 + 116690560000 = 115644^2 + 341600^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130064094692 and 130064094701.

It is not an unprimeable number, because it can be changed into a prime (130064094737) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41833150 + ... + 41836258.

Almost surely, 2^130064094736 is an apocalyptic number.

130064094736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

130064094736 is the 360644-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130064094736

130064094736 is an abundant number, since it is smaller than the sum of its proper divisors (131008331255).

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

130064094736 is an frugal number, since it uses more digits than its factorization.

130064094736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6284 (or 3140 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 43.

It can be divided in two parts, 1300 and 64094736, that added together give a square (64096036 = 8006²).

The spelling of 130064094736 in words is "one hundred thirty billion, sixty-four million, ninety-four thousand, seven hundred thirty-six".