130688460 has 288 divisors, whose sum is σ = 490613760. Its totient is φ = 27495936.

The previous prime is 130688447. The next prime is 130688483. The reversal of 130688460 is 64886031.

It is a happy number.

130688460 is a `hidden beast` number, since 130 + 68 + 8 + 460 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1268769 + ... + 1268871.

It is an arithmetic number, because the mean of its divisors is an integer number (1703520).

Almost surely, 2^130688460 is an apocalyptic number.

130688460 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 130688460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245306880).

130688460 is an abundant number, since it is smaller than the sum of its proper divisors (359925300).

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

130688460 is a wasteful number, since it uses less digits than its factorization.

130688460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 130688460 is about 11431.9053530022. The cubic root of 130688460 is about 507.4723839794.

It can be divided in two parts, 13068 and 8460, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 130688460 in words is "one hundred thirty million, six hundred eighty-eight thousand, four hundred sixty".