138459312 has 120 divisors (see below), whose sum is σ = 404289600. Its totient is φ = 44198784.

The previous prime is 138459263. The next prime is 138459313. The reversal of 138459312 is 213954831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (138459313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365139 + ... + 365517.

It is an arithmetic number, because the mean of its divisors is an integer number (3369080).

Almost surely, 2^138459312 is an apocalyptic number.

138459312 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 138459312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202144800).

138459312 is an abundant number, since it is smaller than the sum of its proper divisors (265830288).

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

138459312 is a wasteful number, since it uses less digits than its factorization.

138459312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 486 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 138459312 is about 11766.8735014871. The cubic root of 138459312 is about 517.3376148073.

The spelling of 138459312 in words is "one hundred thirty-eight million, four hundred fifty-nine thousand, three hundred twelve".