130826268 has 36 divisors (see below), whose sum is σ = 331459128. Its totient is φ = 43508640.

The previous prime is 130826263. The next prime is 130826309. The reversal of 130826268 is 862628031.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130826261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12655 + ... + 20537.

It is an arithmetic number, because the mean of its divisors is an integer number (9207198).

Almost surely, 2^130826268 is an apocalyptic number.

130826268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130826268 is an abundant number, since it is smaller than the sum of its proper divisors (200632860).

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

130826268 is a wasteful number, since it uses less digits than its factorization.

130826268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8354 (or 8349 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 130826268 is about 11437.9311066294. The cubic root of 130826268 is about 507.6506940039.

The spelling of 130826268 in words is "one hundred thirty million, eight hundred twenty-six thousand, two hundred sixty-eight".