903300138 has 48 divisors (see below), whose sum is σ = 2113413120. Its totient is φ = 277185312.

The previous prime is 903300077. The next prime is 903300143. The reversal of 903300138 is 831003309.

903300138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×903300138² = 1631902278621638088, which contains 22 as substring.

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, 84583 + ... + 94661.

It is an arithmetic number, because the mean of its divisors is an integer number (44029440).

Almost surely, 2^903300138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 903300138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056706560).

903300138 is an abundant number, since it is smaller than the sum of its proper divisors (1210112982).

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

903300138 is a wasteful number, since it uses less digits than its factorization.

903300138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10483 (or 10480 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 903300138 is about 30054.9519713474. The cubic root of 903300138 is about 966.6680370703.

The spelling of 903300138 in words is "nine hundred three million, three hundred thousand, one hundred thirty-eight".