138219730760832 has 256 divisors, whose sum is σ = 444360878726400. Its totient is φ = 37161372745728.

The previous prime is 138219730760821. The next prime is 138219730760863. The reversal of 138219730760832 is 238067037912831.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246158094 + ... + 246718962.

It is an arithmetic number, because the mean of its divisors is an integer number (1735784682525).

Almost surely, 2^{138219730760832} is an apocalyptic number.

138219730760832 is a gapful number since it is divisible by the number (12) 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 138219730760832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222180439363200).

138219730760832 is an abundant number, since it is smaller than the sum of its proper divisors (306141147965568).

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

138219730760832 is a wasteful number, since it uses less digits than its factorization.

138219730760832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566303 (or 566291 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 138219730760832 in words is "one hundred thirty-eight trillion, two hundred nineteen billion, seven hundred thirty million, seven hundred sixty thousand, eight hundred thirty-two".