138269824 has 64 divisors (see below), whose sum is σ = 343454400. Its totient is φ = 53867520.

The previous prime is 138269801. The next prime is 138269837. The reversal of 138269824 is 428962831.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2842 + ... + 16870.

It is an arithmetic number, because the mean of its divisors is an integer number (5366475).

Almost surely, 2^138269824 is an apocalyptic number.

138269824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138269824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171727200).

138269824 is an abundant number, since it is smaller than the sum of its proper divisors (205184576).

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

138269824 is a wasteful number, since it uses less digits than its factorization.

138269824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14061 (or 14049 counting only the distinct ones).

The product of its digits is 165888, while the sum is 43.

The square root of 138269824 is about 11758.8189883168. The cubic root of 138269824 is about 517.1015068808.

It can be divided in two parts, 138 and 269824, that added together give a palindrome (269962).

The spelling of 138269824 in words is "one hundred thirty-eight million, two hundred sixty-nine thousand, eight hundred twenty-four".