138054 has 32 divisors (see below), whose sum is σ = 334080. Its totient is φ = 37152.

The previous prime is 138053. The next prime is 138059. The reversal of 138054 is 450831.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 138054.

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 138054.

It is not an unprimeable number, because it can be changed into a prime (138053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 712 + ... + 884.

It is an arithmetic number, because the mean of its divisors is an integer number (10440).

2¹³⁸⁰⁵⁴ is an apocalyptic number.

138054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167040).

138054 is an abundant number, since it is smaller than the sum of its proper divisors (196026).

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

138054 is a wasteful number, since it uses less digits than its factorization.

138054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204.

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

The square root of 138054 is about 371.5561868682. The cubic root of 138054 is about 51.6832320567.

Adding to 138054 its sum of digits (21), we get a triangular number (138075 = T₅₂₅).

Adding to 138054 its reverse (450831), we get a palindrome (588885).

The spelling of 138054 in words is "one hundred thirty-eight thousand, fifty-four".