138803857251840 has 1280 divisors, whose sum is σ = 577309411261440. Its totient is φ = 31235993763840.

The previous prime is 138803857251833. The next prime is 138803857251841. The reversal of 138803857251840 is 48152758308831.

138803857251840 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 0 + 3 + 8 + 5 + 72 + 518 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138803857251841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 943483567 + ... + 943630673.

It is an arithmetic number, because the mean of its divisors is an integer number (451022977548).

Almost surely, 2^{138803857251840} is an apocalyptic number.

138803857251840 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 138803857251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288654705630720).

138803857251840 is an abundant number, since it is smaller than the sum of its proper divisors (438505554009600).

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

138803857251840 is a wasteful number, since it uses less digits than its factorization.

138803857251840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147240 (or 147218 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 138803857251840 in words is "one hundred thirty-eight trillion, eight hundred three billion, eight hundred fifty-seven million, two hundred fifty-one thousand, eight hundred forty".