138685327235584 has 160 divisors (see below), whose sum is σ = 287923670812800. Its totient is φ = 66655609896960.

The previous prime is 138685327235551. The next prime is 138685327235629. The reversal of 138685327235584 is 485532723586831.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5309735677 + ... + 5309761795.

It is an arithmetic number, because the mean of its divisors is an integer number (1799522942580).

Almost surely, 2^{138685327235584} 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 138685327235584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143961835406400).

138685327235584 is an abundant number, since it is smaller than the sum of its proper divisors (149238343577216).

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

138685327235584 is a wasteful number, since it uses less digits than its factorization.

138685327235584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27734 (or 27718 counting only the distinct ones).

The product of its digits is 1161216000, while the sum is 70.

The spelling of 138685327235584 in words is "one hundred thirty-eight trillion, six hundred eighty-five billion, three hundred twenty-seven million, two hundred thirty-five thousand, five hundred eighty-four".