138825837 has 24 divisors (see below), whose sum is σ = 212465760. Its totient is φ = 87104160.

The previous prime is 138825823. The next prime is 138825847. The reversal of 138825837 is 738528831.

It is not a de Polignac number, because 138825837 - 2⁴ = 138825821 is a prime.

It is a super-3 number, since 3×138825837³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 138825792 and 138825801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138825847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24262 + ... + 29432.

It is an arithmetic number, because the mean of its divisors is an integer number (8852740).

Almost surely, 2^138825837 is an apocalyptic number.

It is an amenable number.

138825837 is a deficient number, since it is larger than the sum of its proper divisors (73639923).

138825837 is a wasteful number, since it uses less digits than its factorization.

138825837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5353 (or 5350 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 138825837 is about 11782.4376510126. The cubic root of 138825837 is about 517.7937057124.

It can be divided in two parts, 1388 and 25837, that added together give a square (27225 = 165²).

The spelling of 138825837 in words is "one hundred thirty-eight million, eight hundred twenty-five thousand, eight hundred thirty-seven".