138843648 has 120 divisors (see below), whose sum is σ = 414928800. Its totient is φ = 44642304.

The previous prime is 138843643. The next prime is 138843673. The reversal of 138843648 is 846348831.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138843643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133113 + ... + 134151.

It is an arithmetic number, because the mean of its divisors is an integer number (3457740).

Almost surely, 2^138843648 is an apocalyptic number.

138843648 is a gapful number since it is divisible by the number (18) 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 138843648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207464400).

138843648 is an abundant number, since it is smaller than the sum of its proper divisors (276085152).

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

138843648 is a wasteful number, since it uses less digits than its factorization.

138843648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1073 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 138843648 is about 11783.1934550868. The cubic root of 138843648 is about 517.8158486350.

The spelling of 138843648 in words is "one hundred thirty-eight million, eight hundred forty-three thousand, six hundred forty-eight".