138127872 has 80 divisors (see below), whose sum is σ = 387430560. Its totient is φ = 43610112.

The previous prime is 138127849. The next prime is 138127879. The reversal of 138127872 is 278721831.

It is a self number, because there is not a number n which added to its sum of digits gives 138127872.

It is not an unprimeable number, because it can be changed into a prime (138127879) 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, 26818 + ... + 31550.

It is an arithmetic number, because the mean of its divisors is an integer number (4842882).

Almost surely, 2^138127872 is an apocalyptic number.

138127872 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 138127872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193715280).

138127872 is an abundant number, since it is smaller than the sum of its proper divisors (249302688).

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

138127872 is an equidigital number, since it uses as much as digits as its factorization.

138127872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4773 (or 4757 counting only the distinct ones).

The product of its digits is 37632, while the sum is 39.

The square root of 138127872 is about 11752.7814580209. The cubic root of 138127872 is about 516.9244889199.

The spelling of 138127872 in words is "one hundred thirty-eight million, one hundred twenty-seven thousand, eight hundred seventy-two".