138843285840 has 1200 divisors, whose sum is σ = 595433139840. Its totient is φ = 29359687680.

The previous prime is 138843285839. The next prime is 138843285851. The reversal of 138843285840 is 48582348831.

138843285840 is a `hidden beast` number, since 1 + 38 + 8 + 4 + 3 + 28 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 998872491 + ... + 998872629.

Almost surely, 2^138843285840 is an apocalyptic number.

138843285840 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 138843285840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297716569920).

138843285840 is an abundant number, since it is smaller than the sum of its proper divisors (456589854000).

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

138843285840 is a wasteful number, since it uses less digits than its factorization.

138843285840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 138843285840 in words is "one hundred thirty-eight billion, eight hundred forty-three million, two hundred eighty-five thousand, eight hundred forty".