138376 has 24 divisors (see below), whose sum is σ = 302670. Its totient is φ = 59136.

The previous prime is 138373. The next prime is 138389. The reversal of 138376 is 673831.

138376 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in only one way, i.e., 122500 + 15876 = 350^2 + 126^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (138371) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 216 + ... + 568.

2¹³⁸³⁷⁶ 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 138376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151335).

138376 is an abundant number, since it is smaller than the sum of its proper divisors (164294).

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

138376 is a wasteful number, since it uses less digits than its factorization.

138376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 362 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 138376 is about 371.9892471564. The cubic root of 138376 is about 51.7233832023.

The spelling of 138376 in words is "one hundred thirty-eight thousand, three hundred seventy-six".