138632112 has 60 divisors (see below), whose sum is σ = 393795480. Its totient is φ = 45517824.

The previous prime is 138632107. The next prime is 138632141. The reversal of 138632112 is 211236831.

It is a happy number.

138632112 is a `hidden beast` number, since 13 + 8 + 632 + 1 + 12 = 666.

138632112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2464 + ... + 16832.

It is an arithmetic number, because the mean of its divisors is an integer number (6563258).

Almost surely, 2^138632112 is an apocalyptic number.

138632112 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 138632112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196897740).

138632112 is an abundant number, since it is smaller than the sum of its proper divisors (255163368).

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

138632112 is a wasteful number, since it uses less digits than its factorization.

138632112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14450 (or 14441 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 138632112 is about 11774.2138591075. The cubic root of 138632112 is about 517.5527412465.

Adding to 138632112 its reverse (211236831), we get a palindrome (349868943).

It can be divided in two parts, 138 and 632112, that added together give a triangular number (632250 = T₁₁₂₄).

The spelling of 138632112 in words is "one hundred thirty-eight million, six hundred thirty-two thousand, one hundred twelve".