1306139824 has 60 divisors (see below), whose sum is σ = 2902657968. Its totient is φ = 567867520.

The previous prime is 1306139803. The next prime is 1306139827. The reversal of 1306139824 is 4289316031.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1306139827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29862 + ... + 59194.

Almost surely, 2^1306139824 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 1306139824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451328984).

1306139824 is an abundant number, since it is smaller than the sum of its proper divisors (1596518144).

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

1306139824 is a wasteful number, since it uses less digits than its factorization.

1306139824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29386 (or 29369 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 1306139824 is about 36140.5564982057. The cubic root of 1306139824 is about 1093.1083800856.

The spelling of 1306139824 in words is "one billion, three hundred six million, one hundred thirty-nine thousand, eight hundred twenty-four".