138138832 has 40 divisors (see below), whose sum is σ = 298184040. Its totient is φ = 61555200.

The previous prime is 138138823. The next prime is 138138839. The reversal of 138138832 is 238831831.

It can be written as a sum of positive squares in 4 ways, for example, as 36048016 + 102090816 = 6004^2 + 10104^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 138138791 and 138138800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138138839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5419 + ... + 17482.

It is an arithmetic number, because the mean of its divisors is an integer number (7454601).

Almost surely, 2^138138832 is an apocalyptic number.

It is an amenable number.

138138832 is an abundant number, since it is smaller than the sum of its proper divisors (160045208).

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

138138832 is a wasteful number, since it uses less digits than its factorization.

138138832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22951 (or 22945 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 138138832 is about 11753.2477213747. The cubic root of 138138832 is about 516.9381606539.

The spelling of 138138832 in words is "one hundred thirty-eight million, one hundred thirty-eight thousand, eight hundred thirty-two".