130765440 has 256 divisors, whose sum is σ = 466099200. Its totient is φ = 31150080.

The previous prime is 130765399. The next prime is 130765463. The reversal of 130765440 is 44567031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 130765398 and 130765407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4218225 + ... + 4218255.

It is an arithmetic number, because the mean of its divisors is an integer number (1820700).

Almost surely, 2^130765440 is an apocalyptic number.

130765440 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 130765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233049600).

130765440 is an abundant number, since it is smaller than the sum of its proper divisors (335333760).

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

130765440 is an equidigital number, since it uses as much as digits as its factorization.

130765440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 130765440 is about 11435.2717501597. The cubic root of 130765440 is about 507.5720039876.

The spelling of 130765440 in words is "one hundred thirty million, seven hundred sixty-five thousand, four hundred forty".