130909248 has 168 divisors, whose sum is σ = 411891480. Its totient is φ = 39567360.

The previous prime is 130909237. The next prime is 130909283. The reversal of 130909248 is 842909031.

It can be written as a sum of positive squares in 4 ways, for example, as 25887744 + 105021504 = 5088^2 + 10248^2 .

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 283738 + ... + 284198.

It is an arithmetic number, because the mean of its divisors is an integer number (2451735).

Almost surely, 2^130909248 is an apocalyptic number.

130909248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130909248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205945740).

130909248 is an abundant number, since it is smaller than the sum of its proper divisors (280982232).

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

130909248 is a wasteful number, since it uses less digits than its factorization.

130909248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 130909248 is about 11441.5579358757. The cubic root of 130909248 is about 507.7580015859.

The spelling of 130909248 in words is "one hundred thirty million, nine hundred nine thousand, two hundred forty-eight".