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138756945125 = 531110055561
BaseRepresentation
bin1000000100111010001…
…1101111010011100101
3111021011012200011000202
42001032203233103211
54233133234221000
6143424414520245
713011345400421
oct2011643572345
9437135604022
10138756945125
1153934750667
1222a85506085
13101141a4676
146a044d1b81
153921a2ddd5
hex204e8ef4e5

138756945125 has 8 divisors (see below), whose sum is σ = 173168667672. Its totient is φ = 111005556000.

The previous prime is 138756945083. The next prime is 138756945139. The reversal of 138756945125 is 521549657831.

138756945125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1465205284 + 137291739841 = 38278^2 + 370529^2 .

It is not a de Polignac number, because 138756945125 - 214 = 138756928741 is a prime.

It is a super-2 number, since 2×1387569451252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 555027656 + ... + 555027905.

It is an arithmetic number, because the mean of its divisors is an integer number (21646083459).

Almost surely, 2138756945125 is an apocalyptic number.

It is an amenable number.

138756945125 is a deficient number, since it is larger than the sum of its proper divisors (34411722547).

138756945125 is an equidigital number, since it uses as much as digits as its factorization.

138756945125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110055576 (or 1110055566 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 56.

The spelling of 138756945125 in words is "one hundred thirty-eight billion, seven hundred fifty-six million, nine hundred forty-five thousand, one hundred twenty-five".

Divisors: 1 5 25 125 1110055561 5550277805 27751389025 138756945125