1303808145075 has 72 divisors (see below), whose sum is σ = 2400429438576. Its totient is φ = 675992736000.

The previous prime is 1303808145053. The next prime is 1303808145089. The reversal of 1303808145075 is 5705418083031.

It is a happy number.

1303808145075 is a `hidden beast` number, since 1 + 30 + 38 + 0 + 81 + 4 + 507 + 5 = 666.

It is not a de Polignac number, because 1303808145075 - 2¹⁵ = 1303808112307 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1303808145075.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9765520 + ... + 9898130.

It is an arithmetic number, because the mean of its divisors is an integer number (33339297758).

Almost surely, 2^{1303808145075} is an apocalyptic number.

1303808145075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1303808145075 is a deficient number, since it is larger than the sum of its proper divisors (1096621293501).

1303808145075 is a wasteful number, since it uses less digits than its factorization.

1303808145075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133845 (or 133837 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 1303808145075 in words is "one trillion, three hundred three billion, eight hundred eight million, one hundred forty-five thousand, seventy-five".