138075 has 24 divisors (see below), whose sum is σ = 261888. Its totient is φ = 62880.

The previous prime is 138071. The next prime is 138077. The reversal of 138075 is 570831.

138075 is a nontrivial binomial coefficient, being equal to C(526, 2).

It is not a de Polignac number, because 138075 - 2² = 138071 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394 + ... + 656.

It is an arithmetic number, because the mean of its divisors is an integer number (10912).

2¹³⁸⁰⁷⁵ is an apocalyptic number.

138075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138075 is the 525-th triangular number and also the 263-rd hexagonal number.

138075 is a deficient number, since it is larger than the sum of its proper divisors (123813).

138075 is a wasteful number, since it uses less digits than its factorization.

138075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 138075 is about 371.5844453149. The cubic root of 138075 is about 51.6858525116.

The spelling of 138075 in words is "one hundred thirty-eight thousand, seventy-five".