138340 has 12 divisors (see below), whose sum is σ = 290556. Its totient is φ = 55328.

The previous prime is 138337. The next prime is 138349. The reversal of 138340 is 43831.

138340 = T₂₆₁ + T₂₆₂ + ... + T₂₆₄.

It can be written as a sum of positive squares in 2 ways, for example, as 69696 + 68644 = 264^2 + 262^2 .

It is a super-3 number, since 3×138340³ = 7942634333112000, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (138349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3439 + ... + 3478.

It is an arithmetic number, because the mean of its divisors is an integer number (24213).

2¹³⁸³⁴⁰ is an apocalyptic number.

138340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138340 is an abundant number, since it is smaller than the sum of its proper divisors (152216).

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

138340 is a wasteful number, since it uses less digits than its factorization.

138340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6926 (or 6924 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 138340 is about 371.9408555133. The cubic root of 138340 is about 51.7188973490.

The spelling of 138340 in words is "one hundred thirty-eight thousand, three hundred forty".