138330 has 48 divisors (see below), whose sum is σ = 379080. Its totient is φ = 34944.

The previous prime is 138323. The next prime is 138337. The reversal of 138330 is 33831.

It is an interprime number because it is at equal distance from previous prime (138323) and next prime (138337).

It can be written as a sum of positive squares in 4 ways, for example, as 123201 + 15129 = 351^2 + 123^2 .

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

It is not an unprimeable number, because it can be changed into a prime (138337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2584 + ... + 2636.

2¹³⁸³³⁰ is an apocalyptic number.

138330 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 138330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189540).

138330 is an abundant number, since it is smaller than the sum of its proper divisors (240750).

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

138330 is a wasteful number, since it uses less digits than its factorization.

138330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 138330 is about 371.9274122729. The cubic root of 138330 is about 51.7176511405.

The spelling of 138330 in words is "one hundred thirty-eight thousand, three hundred thirty".