138150 has 36 divisors (see below), whose sum is σ = 372372. Its totient is φ = 36720.

The previous prime is 138143. The next prime is 138157. The reversal of 138150 is 51831.

It is a happy number.

138150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138143) and next prime (138157).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 138150.

It is not an unprimeable number, because it can be changed into a prime (138157) by changing a digit.

138150 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 297 + ... + 603.

2¹³⁸¹⁵⁰ is an apocalyptic number.

138150 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 138150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186186).

138150 is an abundant number, since it is smaller than the sum of its proper divisors (234222).

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

138150 is a wasteful number, since it uses less digits than its factorization.

138150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 317 counting only the distinct ones).

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

The square root of 138150 is about 371.6853508009. The cubic root of 138150 is about 51.6952091108.

Adding to 138150 its reverse (51831), we get a palindrome (189981).

It can be divided in two parts, 1381 and 50, that added together give a triangular number (1431 = T₅₃).

The spelling of 138150 in words is "one hundred thirty-eight thousand, one hundred fifty".