130688 has 16 divisors (see below), whose sum is σ = 260610. Its totient is φ = 65280.

The previous prime is 130687. The next prime is 130693. The reversal of 130688 is 886031.

It can be written as a sum of positive squares in only one way, i.e., 107584 + 23104 = 328^2 + 152^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (130681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 383 + ... + 638.

2¹³⁰⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

130688 is a deficient number, since it is larger than the sum of its proper divisors (129922).

130688 is an equidigital number, since it uses as much as digits as its factorization.

130688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1023 counting only the distinct ones).

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

The square root of 130688 is about 361.5079528862. The cubic root of 130688 is about 50.7471788575.

It can be divided in two parts, 130 and 688, that added together give a palindrome (818).

The spelling of 130688 in words is "one hundred thirty thousand, six hundred eighty-eight".