138582912 has 256 divisors, whose sum is σ = 444165120. Its totient is φ = 37847040.

The previous prime is 138582907. The next prime is 138582923. The reversal of 138582912 is 219285831.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1951837 + ... + 1951907.

It is an arithmetic number, because the mean of its divisors is an integer number (1735020).

Almost surely, 2^138582912 is an apocalyptic number.

138582912 is a gapful number since it is divisible by the number (12) 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 138582912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222082560).

138582912 is an abundant number, since it is smaller than the sum of its proper divisors (305582208).

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

138582912 is a wasteful number, since it uses less digits than its factorization.

138582912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 129 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 138582912 is about 11772.1243622381. The cubic root of 138582912 is about 517.4915081806.

The spelling of 138582912 in words is "one hundred thirty-eight million, five hundred eighty-two thousand, nine hundred twelve".