138519437628000 has 768 divisors, whose sum is σ = 551507305789440. Its totient is φ = 29928471552000.

The previous prime is 138519437627947. The next prime is 138519437628041. The reversal of 138519437628000 is 826734915831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48372237 + ... + 51155763.

It is an arithmetic number, because the mean of its divisors is an integer number (718108471080).

It is a 1-persistent number, because it is pandigital, but 2⋅138519437628000 = 277038875256000 is not.

Almost surely, 2^{138519437628000} is an apocalyptic number.

138519437628000 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 138519437628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275753652894720).

138519437628000 is an abundant number, since it is smaller than the sum of its proper divisors (412987868161440).

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

138519437628000 is a wasteful number, since it uses less digits than its factorization.

138519437628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783608 (or 2783590 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 138519437628000 in words is "one hundred thirty-eight trillion, five hundred nineteen billion, four hundred thirty-seven million, six hundred twenty-eight thousand".