510138 has 40 divisors (see below), whose sum is σ = 1184832. Its totient is φ = 163944.

The previous prime is 510137. The next prime is 510157. The reversal of 510138 is 831015.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 510138.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 510138.

It is not an unprimeable number, because it can be changed into a prime (510137) 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 19 ways as a sum of consecutive naturals, for example, 7581 + ... + 7647.

2⁵¹⁰¹³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 510138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592416).

510138 is an abundant number, since it is smaller than the sum of its proper divisors (674694).

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

510138 is a wasteful number, since it uses less digits than its factorization.

510138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 510138 is about 714.2394556450. The cubic root of 510138 is about 79.9029030332.

The spelling of 510138 in words is "five hundred ten thousand, one hundred thirty-eight".