130135440 has 80 divisors (see below), whose sum is σ = 409491648. Its totient is φ = 34180608.

The previous prime is 130135417. The next prime is 130135457. The reversal of 130135440 is 44531031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12034 + ... + 20126.

Almost surely, 2^130135440 is an apocalyptic number.

130135440 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 130135440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204745824).

130135440 is an abundant number, since it is smaller than the sum of its proper divisors (279356208).

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

130135440 is a wasteful number, since it uses less digits than its factorization.

130135440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8176 (or 8170 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 130135440 is about 11407.6921417086. The cubic root of 130135440 is about 506.7555668875.

Adding to 130135440 its reverse (44531031), we get a palindrome (174666471).

The spelling of 130135440 in words is "one hundred thirty million, one hundred thirty-five thousand, four hundred forty".