130768640 has 108 divisors (see below), whose sum is σ = 331753464. Its totient is φ = 49379328.

The previous prime is 130768637. The next prime is 130768663. The reversal of 130768640 is 46867031.

It is a self number, because there is not a number n which added to its sum of digits gives 130768640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 461939 + ... + 462221.

Almost surely, 2^130768640 is an apocalyptic number.

130768640 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 130768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165876732).

130768640 is an abundant number, since it is smaller than the sum of its proper divisors (200984824).

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

130768640 is an equidigital number, since it uses as much as digits as its factorization.

130768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 130768640 is about 11435.4116672728. The cubic root of 130768640 is about 507.5761442690.

The spelling of 130768640 in words is "one hundred thirty million, seven hundred sixty-eight thousand, six hundred forty".