138259153324416 has 256 divisors, whose sum is σ = 379270720604160. Its totient is φ = 44604713926656.

The previous prime is 138259153324333. The next prime is 138259153324441. The reversal of 138259153324416 is 614423351952831.

It is a happy number.

It is a congruent number.

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, 605948145 + ... + 606176271.

It is an arithmetic number, because the mean of its divisors is an integer number (1481526252360).

Almost surely, 2^{138259153324416} is an apocalyptic number.

138259153324416 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 138259153324416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189635360302080).

138259153324416 is an abundant number, since it is smaller than the sum of its proper divisors (241011567279744).

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

138259153324416 is a wasteful number, since it uses less digits than its factorization.

138259153324416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228601 (or 228589 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 57.

The spelling of 138259153324416 in words is "one hundred thirty-eight trillion, two hundred fifty-nine billion, one hundred fifty-three million, three hundred twenty-four thousand, four hundred sixteen".