138549768728832 has 54 divisors (see below), whose sum is σ = 399473139618462. Its totient is φ = 46183256242176.

The previous prime is 138549768728803. The next prime is 138549768728879. The reversal of 138549768728832 is 238827867945831.

138549768728832 is a `hidden beast` number, since 1 + 3 + 8 + 549 + 7 + 68 + 7 + 2 + 8 + 8 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100320576512256 + 38229192216576 = 10016016^2 + 6182976^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30067221813 + ... + 30067226420.

Almost surely, 2^{138549768728832} is an apocalyptic number.

138549768728832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138549768728832 is an abundant number, since it is smaller than the sum of its proper divisors (260923370889630).

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

138549768728832 is an equidigital number, since it uses as much as digits as its factorization.

138549768728832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60134448255 (or 60134448238 counting only the distinct ones).

The product of its digits is 7803371520, while the sum is 81.

The spelling of 138549768728832 in words is "one hundred thirty-eight trillion, five hundred forty-nine billion, seven hundred sixty-eight million, seven hundred twenty-eight thousand, eight hundred thirty-two".