1307135704 has 64 divisors (see below), whose sum is σ = 3028204800. Its totient is φ = 516357504.

The previous prime is 1307135681. The next prime is 1307135771. The reversal of 1307135704 is 4075317031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22767 + ... + 55969.

It is an arithmetic number, because the mean of its divisors is an integer number (47315700).

Almost surely, 2^1307135704 is an apocalyptic number.

1307135704 is a gapful number since it is divisible by the number (14) 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 1307135704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514102400).

1307135704 is an abundant number, since it is smaller than the sum of its proper divisors (1721069096).

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

1307135704 is a wasteful number, since it uses less digits than its factorization.

1307135704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33272 (or 33268 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 1307135704 is about 36154.3317460024. The cubic root of 1307135704 is about 1093.3861268215.

The spelling of 1307135704 in words is "one billion, three hundred seven million, one hundred thirty-five thousand, seven hundred four".