138803005633755 has 64 divisors (see below), whose sum is σ = 241914785472000. Its totient is φ = 67691257224192.

The previous prime is 138803005633741. The next prime is 138803005633781. The reversal of 138803005633755 is 557336500308831.

It is not a de Polignac number, because 138803005633755 - 2⁴ = 138803005633739 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 138803005633695 and 138803005633704.

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 63 ways as a sum of consecutive naturals, for example, 22170639 + ... + 27733431.

It is an arithmetic number, because the mean of its divisors is an integer number (3779918523000).

Almost surely, 2^{138803005633755} is an apocalyptic number.

138803005633755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138803005633755 is a deficient number, since it is larger than the sum of its proper divisors (103111779838245).

138803005633755 is a wasteful number, since it uses less digits than its factorization.

138803005633755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5565868.

The product of its (nonzero) digits is 27216000, while the sum is 57.

The spelling of 138803005633755 in words is "one hundred thirty-eight trillion, eight hundred three billion, five million, six hundred thirty-three thousand, seven hundred fifty-five".