138032483914248 has 256 divisors, whose sum is σ = 441499258368000. Its totient is φ = 34916655820800.

The previous prime is 138032483914187. The next prime is 138032483914261. The reversal of 138032483914248 is 842419384230831.

It is a junction number, because it is equal to n+sod(n) for n = 138032483914191 and 138032483914200.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41511133 + ... + 44712851.

It is an arithmetic number, because the mean of its divisors is an integer number (1724606478000).

Almost surely, 2^{138032483914248} 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 138032483914248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220749629184000).

138032483914248 is an abundant number, since it is smaller than the sum of its proper divisors (303466774453752).

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

138032483914248 is a wasteful number, since it uses less digits than its factorization.

138032483914248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202356 (or 3202352 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 60.

The spelling of 138032483914248 in words is "one hundred thirty-eight trillion, thirty-two billion, four hundred eighty-three million, nine hundred fourteen thousand, two hundred forty-eight".