1307168128 has 128 divisors (see below), whose sum is σ = 3074688000. Its totient is φ = 542011392.

The previous prime is 1307168119. The next prime is 1307168141. The reversal of 1307168128 is 8218617031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4176100 + ... + 4176412.

It is an arithmetic number, because the mean of its divisors is an integer number (24021000).

Almost surely, 2^1307168128 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 1307168128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537344000).

1307168128 is an abundant number, since it is smaller than the sum of its proper divisors (1767519872).

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

1307168128 is an equidigital number, since it uses as much as digits as its factorization.

1307168128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 1307168128 is about 36154.7801542203. The cubic root of 1307168128 is about 1093.3951673668.

The spelling of 1307168128 in words is "one billion, three hundred seven million, one hundred sixty-eight thousand, one hundred twenty-eight".