138556565263616 has 144 divisors (see below), whose sum is σ = 281720722248000. Its totient is φ = 68002717876224.

The previous prime is 138556565263579. The next prime is 138556565263621. The reversal of 138556565263616 is 616362565655831.

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 15 ways as a sum of consecutive naturals, for example, 1669254371 + ... + 1669337373.

It is an arithmetic number, because the mean of its divisors is an integer number (1956393904500).

Almost surely, 2^{138556565263616} is an apocalyptic number.

138556565263616 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 138556565263616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140860361124000).

138556565263616 is an abundant number, since it is smaller than the sum of its proper divisors (143164156984384).

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

138556565263616 is a wasteful number, since it uses less digits than its factorization.

138556565263616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83684 (or 83670 counting only the distinct ones).

The product of its digits is 699840000, while the sum is 68.

The spelling of 138556565263616 in words is "one hundred thirty-eight trillion, five hundred fifty-six billion, five hundred sixty-five million, two hundred sixty-three thousand, six hundred sixteen".