130107744 has 288 divisors, whose sum is σ = 440294400. Its totient is φ = 36080640.

The previous prime is 130107737. The next prime is 130107751. The reversal of 130107744 is 447701031.

It is an interprime number because it is at equal distance from previous prime (130107737) and next prime (130107751).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2205187 + ... + 2205245.

It is an arithmetic number, because the mean of its divisors is an integer number (1528800).

Almost surely, 2^130107744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130107744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).

130107744 is an abundant number, since it is smaller than the sum of its proper divisors (310186656).

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

130107744 is a wasteful number, since it uses less digits than its factorization.

130107744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 130107744 is about 11406.4781593619. The cubic root of 130107744 is about 506.7196143497.

Adding to 130107744 its reverse (447701031), we get a palindrome (577808775).

The spelling of 130107744 in words is "one hundred thirty million, one hundred seven thousand, seven hundred forty-four".