138782112 has 144 divisors (see below), whose sum is σ = 428736672. Its totient is φ = 39191040.

The previous prime is 138782051. The next prime is 138782123. The reversal of 138782112 is 211287831.

It is a super-2 number, since 2×138782112² = 38520949222361088, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 766662 + ... + 766842.

It is an arithmetic number, because the mean of its divisors is an integer number (2977338).

Almost surely, 2^138782112 is an apocalyptic number.

138782112 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 138782112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214368336).

138782112 is an abundant number, since it is smaller than the sum of its proper divisors (289954560).

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

138782112 is a wasteful number, since it uses less digits than its factorization.

138782112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 356 counting only the distinct ones).

The product of its digits is 5376, while the sum is 33.

The square root of 138782112 is about 11780.5819890190. The cubic root of 138782112 is about 517.7393380537.

The spelling of 138782112 in words is "one hundred thirty-eight million, seven hundred eighty-two thousand, one hundred twelve".