130688000 has 88 divisors (see below), whose sum is σ = 326357304. Its totient is φ = 52224000.

The previous prime is 130687987. The next prime is 130688011. The reversal of 130688000 is 886031.

It can be written as a sum of positive squares in 4 ways, for example, as 3810304 + 126877696 = 1952^2 + 11264^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127490 + ... + 128510.

Almost surely, 2^130688000 is an apocalyptic number.

130688000 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 130688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163178652).

130688000 is an abundant number, since it is smaller than the sum of its proper divisors (195669304).

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

130688000 is an equidigital number, since it uses as much as digits as its factorization.

130688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 130688000 is about 11431.8852338536. The cubic root of 130688000 is about 507.4717885747.

The spelling of 130688000 in words is "one hundred thirty million, six hundred eighty-eight thousand".