138257151648 has 288 divisors, whose sum is σ = 479906219520. Its totient is φ = 34020518400.

The previous prime is 138257151647. The next prime is 138257151677. The reversal of 138257151648 is 846151752831.

It is a self number, because there is not a number n which added to its sum of digits gives 138257151648.

It is not an unprimeable number, because it can be changed into a prime (138257151647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1500183 + ... + 1589673.

It is an arithmetic number, because the mean of its divisors is an integer number (1666341040).

Almost surely, 2^138257151648 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 138257151648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239953109760).

138257151648 is an abundant number, since it is smaller than the sum of its proper divisors (341649067872).

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

138257151648 is a wasteful number, since it uses less digits than its factorization.

138257151648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89552 (or 89533 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 51.

The spelling of 138257151648 in words is "one hundred thirty-eight billion, two hundred fifty-seven million, one hundred fifty-one thousand, six hundred forty-eight".