1307368133604 has 243 divisors, whose sum is σ = 3638817037947. Its totient is φ = 395598797568.

The previous prime is 1307368133567. The next prime is 1307368133633. The reversal of 1307368133604 is 4063318637031.

It is a happy number.

The square root of 1307368133604 is 1143402.

It is a perfect power (a square), and thus also a powerful number.

1307368133604 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 3 + 6 + 8 + 1 + 33 + 604 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 116214173604 + 1191153960000 = 340902^2 + 1091400^2 .

It is a super-2 number, since 2×1307368133604² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1307368133604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9542833024 + ... + 9542833160.

Almost surely, 2^{1307368133604} is an apocalyptic number.

1307368133604 is the 1143402-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1307368133604

1307368133604 is an abundant number, since it is smaller than the sum of its proper divisors (2331448904343).

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

1307368133604 is a wasteful number, since it uses less digits than its factorization.

1307368133604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 1307368133604 in words is "one trillion, three hundred seven billion, three hundred sixty-eight million, one hundred thirty-three thousand, six hundred four".