138898282240 has 144 divisors (see below), whose sum is σ = 337869913248. Its totient is φ = 54701457408.

The previous prime is 138898282189. The next prime is 138898282249. The reversal of 138898282240 is 42282898831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138898282249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33251032 + ... + 33255208.

It is an arithmetic number, because the mean of its divisors is an integer number (2346318842).

Almost surely, 2^138898282240 is an apocalyptic number.

138898282240 is a gapful number since it is divisible by the number (10) 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 138898282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168934956624).

138898282240 is an abundant number, since it is smaller than the sum of its proper divisors (198971631008).

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

138898282240 is an equidigital number, since it uses as much as digits as its factorization.

138898282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4594 (or 4580 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 55.

The spelling of 138898282240 in words is "one hundred thirty-eight billion, eight hundred ninety-eight million, two hundred eighty-two thousand, two hundred forty".