130705440 has 96 divisors (see below), whose sum is σ = 413501760. Its totient is φ = 34704384.

The previous prime is 130705439. The next prime is 130705441. The reversal of 130705440 is 44507031.

It is an interprime number because it is at equal distance from previous prime (130705439) and next prime (130705441).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 130705440.

It is not an unprimeable number, because it can be changed into a prime (130705441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151731 + ... + 152589.

It is an arithmetic number, because the mean of its divisors is an integer number (4307310).

Almost surely, 2^130705440 is an apocalyptic number.

130705440 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 130705440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206750880).

130705440 is an abundant number, since it is smaller than the sum of its proper divisors (282796320).

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

130705440 is a wasteful number, since it uses less digits than its factorization.

130705440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 130705440 is about 11432.6479872338. The cubic root of 130705440 is about 507.4943612015.

The spelling of 130705440 in words is "one hundred thirty million, seven hundred five thousand, four hundred forty".