138538125 has 60 divisors (see below), whose sum is σ = 272912640. Its totient is φ = 67140000.

The previous prime is 138538123. The next prime is 138538129. The reversal of 138538125 is 521835831.

It is not a de Polignac number, because 138538125 - 2¹ = 138538123 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 138538125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138538123) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 60756 + ... + 62994.

It is an arithmetic number, because the mean of its divisors is an integer number (4548544).

Almost surely, 2^138538125 is an apocalyptic number.

138538125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138538125 is a deficient number, since it is larger than the sum of its proper divisors (134374515).

138538125 is a wasteful number, since it uses less digits than its factorization.

138538125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2258 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 138538125 is about 11770.2219605239. The cubic root of 138538125 is about 517.4357548195.

The spelling of 138538125 in words is "one hundred thirty-eight million, five hundred thirty-eight thousand, one hundred twenty-five".