302138000 has 80 divisors (see below), whose sum is σ = 769117440. Its totient is φ = 114480000.

The previous prime is 302137993. The next prime is 302138003. The reversal of 302138000 is 831203.

302138000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 302138000.

It is not an unprimeable number, because it can be changed into a prime (302138003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34025 + ... + 41975.

It is an arithmetic number, because the mean of its divisors is an integer number (9613968).

Almost surely, 2^302138000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384558720).

302138000 is an abundant number, since it is smaller than the sum of its proper divisors (466979440).

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

302138000 is a wasteful number, since it uses less digits than its factorization.

302138000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7993 (or 7977 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 302138000 is about 17382.1172473321. The cubic root of 302138000 is about 671.0194623454.

Adding to 302138000 its reverse (831203), we get a palindrome (302969203).

The spelling of 302138000 in words is "three hundred two million, one hundred thirty-eight thousand".