138518112 has 48 divisors (see below), whose sum is σ = 366856560. Its totient is φ = 45764096.

The previous prime is 138518111. The next prime is 138518143. The reversal of 138518112 is 211815831.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×138518112³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 138518112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138518111) 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, 1225768 + ... + 1225880.

It is an arithmetic number, because the mean of its divisors is an integer number (7642845).

Almost surely, 2^138518112 is an apocalyptic number.

138518112 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 138518112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183428280).

138518112 is an abundant number, since it is smaller than the sum of its proper divisors (228338448).

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

138518112 is an frugal number, since it uses more digits than its factorization.

138518112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 118 counting only the distinct ones).

The product of its digits is 1920, while the sum is 30.

The square root of 138518112 is about 11769.3717759275. The cubic root of 138518112 is about 517.4108376341.

The spelling of 138518112 in words is "one hundred thirty-eight million, five hundred eighteen thousand, one hundred twelve".