138210 has 32 divisors (see below), whose sum is σ = 352512. Its totient is φ = 34560.

The previous prime is 138209. The next prime is 138239. The reversal of 138210 is 12831.

It is a happy number.

138210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 138210.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375 + ... + 645.

It is an arithmetic number, because the mean of its divisors is an integer number (11016).

2¹³⁸²¹⁰ is an apocalyptic number.

138210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176256).

138210 is an abundant number, since it is smaller than the sum of its proper divisors (214302).

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

138210 is a wasteful number, since it uses less digits than its factorization.

138210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 138210 is about 371.7660554704. The cubic root of 138210 is about 51.7026919522.

The spelling of 138210 in words is "one hundred thirty-eight thousand, two hundred ten".