1303145856 has 192 divisors, whose sum is σ = 4085406000. Its totient is φ = 397135872.

The previous prime is 1303145819. The next prime is 1303145861. The reversal of 1303145856 is 6585413031.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1303145856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 633726 + ... + 635778.

Almost surely, 2^1303145856 is an apocalyptic number.

1303145856 is a gapful number since it is divisible by the number (16) 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 1303145856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042703000).

1303145856 is an abundant number, since it is smaller than the sum of its proper divisors (2782260144).

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

1303145856 is a wasteful number, since it uses less digits than its factorization.

1303145856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1303145856 is about 36099.1115680151. Note that the first 3 decimals coincide. The cubic root of 1303145856 is about 1092.2725238592.

Adding to 1303145856 its reverse (6585413031), we get a palindrome (7888558887).

The spelling of 1303145856 in words is "one billion, three hundred three million, one hundred forty-five thousand, eight hundred fifty-six".