130909000 has 64 divisors (see below), whose sum is σ = 309394800. Its totient is φ = 51840000.

The previous prime is 130908979. The next prime is 130909007. The reversal of 130909000 is 909031.

It can be written as a sum of positive squares in 8 ways, for example, as 1085764 + 129823236 = 1042^2 + 11394^2 .

It is not an unprimeable number, because it can be changed into a prime (130909007) 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 15 ways as a sum of consecutive naturals, for example, 108400 + ... + 109600.

Almost surely, 2^130909000 is an apocalyptic number.

130909000 is a gapful number since it is divisible by the number (10) 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 130909000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154697400).

130909000 is an abundant number, since it is smaller than the sum of its proper divisors (178485800).

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

130909000 is a wasteful number, since it uses less digits than its factorization.

130909000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 22.

The square root of 130909000 is about 11441.5470981856. The cubic root of 130909000 is about 507.7576809463.

The spelling of 130909000 in words is "one hundred thirty million, nine hundred nine thousand".