138525 has 12 divisors (see below), whose sum is σ = 229152. Its totient is φ = 73840.

The previous prime is 138517. The next prime is 138547. The reversal of 138525 is 525831.

138525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138525 - 2³ = 138517 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 138495 and 138504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 849 + ... + 998.

It is an arithmetic number, because the mean of its divisors is an integer number (19096).

2¹³⁸⁵²⁵ is an apocalyptic number.

138525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138525 is a deficient number, since it is larger than the sum of its proper divisors (90627).

138525 is a wasteful number, since it uses less digits than its factorization.

138525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1855 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 138525 is about 372.1894678789. The cubic root of 138525 is about 51.7419413809.

The spelling of 138525 in words is "one hundred thirty-eight thousand, five hundred twenty-five".