130688600 has 96 divisors (see below), whose sum is σ = 349546080. Its totient is φ = 44513280.

The previous prime is 130688573. The next prime is 130688603. The reversal of 130688600 is 6886031.

130688600 = T₃₉₁ + T₃₉₂ + ... + T₉₄₄.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130688603) 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 23 ways as a sum of consecutive naturals, for example, 387632 + ... + 387968.

It is an arithmetic number, because the mean of its divisors is an integer number (3641105).

Almost surely, 2^130688600 is an apocalyptic number.

130688600 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 130688600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174773040).

130688600 is an abundant number, since it is smaller than the sum of its proper divisors (218857480).

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

130688600 is a wasteful number, since it uses less digits than its factorization.

130688600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 130688600 is about 11431.9114762143. The cubic root of 130688600 is about 507.4725651893.

The spelling of 130688600 in words is "one hundred thirty million, six hundred eighty-eight thousand, six hundred".