138435032736 has 576 divisors, whose sum is σ = 530268560640. Its totient is φ = 33084702720.

The previous prime is 138435032719. The next prime is 138435032753. The reversal of 138435032736 is 637230534831.

138435032736 is a `hidden beast` number, since 1 + 38 + 43 + 503 + 2 + 73 + 6 = 666.

138435032736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138435032719) and next prime (138435032753).

It is a junction number, because it is equal to n+sod(n) for n = 138435032691 and 138435032700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124828150 + ... + 124829258.

It is an arithmetic number, because the mean of its divisors is an integer number (920605140).

Almost surely, 2^138435032736 is an apocalyptic number.

138435032736 is a gapful number since it is divisible by the number (16) 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 138435032736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265134280320).

138435032736 is an abundant number, since it is smaller than the sum of its proper divisors (391833527904).

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

138435032736 is a wasteful number, since it uses less digits than its factorization.

138435032736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

It can be divided in two parts, 1384350 and 32736, that added together give a triangular number (1417086 = T₁₆₈₃).

The spelling of 138435032736 in words is "one hundred thirty-eight billion, four hundred thirty-five million, thirty-two thousand, seven hundred thirty-six".