138701456244 has 576 divisors, whose sum is σ = 425005056000. Its totient is φ = 39003793920.

The previous prime is 138701456221. The next prime is 138701456249. The reversal of 138701456244 is 442654107831.

138701456244 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 0 + 14 + 5 + 624 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 138701456244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138701456249) 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 191 ways as a sum of consecutive naturals, for example, 1296275239 + ... + 1296275345.

It is an arithmetic number, because the mean of its divisors is an integer number (737856000).

Almost surely, 2^138701456244 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 138701456244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212502528000).

138701456244 is an abundant number, since it is smaller than the sum of its proper divisors (286303599756).

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

138701456244 is a wasteful number, since it uses less digits than its factorization.

138701456244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 138701456244 in words is "one hundred thirty-eight billion, seven hundred one million, four hundred fifty-six thousand, two hundred forty-four".