138530112 has 112 divisors (see below), whose sum is σ = 426232320. Its totient is φ = 38886912.

The previous prime is 138530111. The next prime is 138530113. The reversal of 138530112 is 211035831.

It is an interprime number because it is at equal distance from previous prime (138530111) and next prime (138530113).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138530111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78423 + ... + 80169.

Almost surely, 2^138530112 is an apocalyptic number.

138530112 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 138530112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213116160).

138530112 is an abundant number, since it is smaller than the sum of its proper divisors (287702208).

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

138530112 is a wasteful number, since it uses less digits than its factorization.

138530112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 138530112 is about 11769.8815627006. The cubic root of 138530112 is about 517.4257785220.

Adding to 138530112 its reverse (211035831), we get a palindrome (349565943).

The spelling of 138530112 in words is "one hundred thirty-eight million, five hundred thirty thousand, one hundred twelve".