138156 has 24 divisors (see below), whose sum is σ = 334320. Its totient is φ = 44352.

The previous prime is 138143. The next prime is 138157. The reversal of 138156 is 651831.

138156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150 + ... + 546.

It is an arithmetic number, because the mean of its divisors is an integer number (13930).

2¹³⁸¹⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167160).

138156 is an abundant number, since it is smaller than the sum of its proper divisors (196164).

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

138156 is a wasteful number, since it uses less digits than its factorization.

138156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 431 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 138156 is about 371.6934220564. The cubic root of 138156 is about 51.6959574924.

Adding to 138156 its reverse (651831), we get a palindrome (789987).

It can be divided in two parts, 138 and 156, that multiplied together give a triangular number (21528 = T₂₀₇).

The spelling of 138156 in words is "one hundred thirty-eight thousand, one hundred fifty-six".