138824448 has 288 divisors, whose sum is σ = 470937600. Its totient is φ = 36126720.

The previous prime is 138824447. The next prime is 138824453. The reversal of 138824448 is 844428831.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (138824447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4478193 + ... + 4478223.

It is an arithmetic number, because the mean of its divisors is an integer number (1635200).

Almost surely, 2^138824448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138824448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235468800).

138824448 is an abundant number, since it is smaller than the sum of its proper divisors (332113152).

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

138824448 is an equidigital number, since it uses as much as digits as its factorization.

138824448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its digits is 196608, while the sum is 42.

The square root of 138824448 is about 11782.3787072051. The cubic root of 138824448 is about 517.7919788055.

The spelling of 138824448 in words is "one hundred thirty-eight million, eight hundred twenty-four thousand, four hundred forty-eight".