203145768 has 144 divisors (see below), whose sum is σ = 649827360. Its totient is φ = 57153600.

The previous prime is 203145763. The next prime is 203145779. The reversal of 203145768 is 867541302.

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

It is not an unprimeable number, because it can be changed into a prime (203145763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 250083 + ... + 250893.

It is an arithmetic number, because the mean of its divisors is an integer number (4512690).

Almost surely, 2^203145768 is an apocalyptic number.

203145768 is a gapful number since it is divisible by the number (28) 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 203145768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324913680).

203145768 is an abundant number, since it is smaller than the sum of its proper divisors (446681592).

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

203145768 is a wasteful number, since it uses less digits than its factorization.

203145768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 203145768 is about 14252.9213847548. The cubic root of 203145768 is about 587.8537051013.

The spelling of 203145768 in words is "two hundred three million, one hundred forty-five thousand, seven hundred sixty-eight".