138450 has 48 divisors (see below), whose sum is σ = 374976. Its totient is φ = 33600.

The previous prime is 138449. The next prime is 138451. The reversal of 138450 is 54831.

138450 is nontrivially palindromic in base 4.

It is an interprime number because it is at equal distance from previous prime (138449) and next prime (138451).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (138451) 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, 1915 + ... + 1985.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2¹³⁸⁴⁵⁰ is an apocalyptic number.

138450 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 138450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488).

138450 is an abundant number, since it is smaller than the sum of its proper divisors (236526).

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

138450 is a wasteful number, since it uses less digits than its factorization.

138450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 138450 is about 372.0886991028. The cubic root of 138450 is about 51.7326016801.

The spelling of 138450 in words is "one hundred thirty-eight thousand, four hundred fifty".