130813768 has 32 divisors (see below), whose sum is σ = 250843320. Its totient is φ = 63936000.

The previous prime is 130813763. The next prime is 130813789. The reversal of 130813768 is 867318031.

It can be written as a sum of positive squares in 4 ways, for example, as 30052324 + 100761444 = 5482^2 + 10038^2 .

It is a super-2 number, since 2×130813768² = 34224483796715648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (130813763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87588 + ... + 89068.

Almost surely, 2^130813768 is an apocalyptic number.

It is an amenable number.

130813768 is a deficient number, since it is larger than the sum of its proper divisors (120029552).

130813768 is a wasteful number, since it uses less digits than its factorization.

130813768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 130813768 is about 11437.3846660852. The cubic root of 130813768 is about 507.6345253962.

The spelling of 130813768 in words is "one hundred thirty million, eight hundred thirteen thousand, seven hundred sixty-eight".