130890368 has 96 divisors (see below), whose sum is σ = 311339700. Its totient is φ = 54620160.

The previous prime is 130890367. The next prime is 130890407. The reversal of 130890368 is 863098031.

It can be written as a sum of positive squares in 2 ways, for example, as 129231424 + 1658944 = 11368^2 + 1288^2 .

It is not an unprimeable number, because it can be changed into a prime (130890367) 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 11 ways as a sum of consecutive naturals, for example, 256898 + ... + 257406.

Almost surely, 2^130890368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130890368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155669850).

130890368 is an abundant number, since it is smaller than the sum of its proper divisors (180449332).

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

130890368 is an equidigital number, since it uses as much as digits as its factorization.

130890368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 130890368 is about 11440.7328436600. The cubic root of 130890368 is about 507.7335904459.

The spelling of 130890368 in words is "one hundred thirty million, eight hundred ninety thousand, three hundred sixty-eight".