138269144 has 32 divisors (see below), whose sum is σ = 280565040. Its totient is φ = 63504000.

The previous prime is 138269107. The next prime is 138269147. The reversal of 138269144 is 441962831.

138269144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 138269098 and 138269107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138269147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18794 + ... + 25094.

Almost surely, 2^138269144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138269144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140282520).

138269144 is an abundant number, since it is smaller than the sum of its proper divisors (142295896).

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

138269144 is a wasteful number, since it uses less digits than its factorization.

138269144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6531 (or 6527 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 138269144 is about 11758.7900738129. The cubic root of 138269144 is about 517.1006591914.

The spelling of 138269144 in words is "one hundred thirty-eight million, two hundred sixty-nine thousand, one hundred forty-four".