138336474540 has 192 divisors, whose sum is σ = 438842396160. Its totient is φ = 32252559360.

The previous prime is 138336474517. The next prime is 138336474547. The reversal of 138336474540 is 45474633831.

138336474540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 138336474540.

It is not an unprimeable number, because it can be changed into a prime (138336474547) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4904919 + ... + 4933041.

It is an arithmetic number, because the mean of its divisors is an integer number (2285637480).

Almost surely, 2^138336474540 is an apocalyptic number.

138336474540 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 138336474540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219421198080).

138336474540 is an abundant number, since it is smaller than the sum of its proper divisors (300505921620).

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

138336474540 is a wasteful number, since it uses less digits than its factorization.

138336474540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28432 (or 28430 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 138336474540 in words is "one hundred thirty-eight billion, three hundred thirty-six million, four hundred seventy-four thousand, five hundred forty".