138556700817288 has 384 divisors, whose sum is σ = 403777899504000. Its totient is φ = 39276737740800.

The previous prime is 138556700817287. The next prime is 138556700817299. The reversal of 138556700817288 is 882718007655831.

It is not an unprimeable number, because it can be changed into a prime (138556700817287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2510012088 + ... + 2510067288.

It is an arithmetic number, because the mean of its divisors is an integer number (1051504946625).

Almost surely, 2^{138556700817288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138556700817288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201888949752000).

138556700817288 is an abundant number, since it is smaller than the sum of its proper divisors (265221198686712).

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

138556700817288 is a wasteful number, since it uses less digits than its factorization.

138556700817288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55557 (or 55510 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 69.

The spelling of 138556700817288 in words is "one hundred thirty-eight trillion, five hundred fifty-six billion, seven hundred million, eight hundred seventeen thousand, two hundred eighty-eight".