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138069188145 = 3357826917669
BaseRepresentation
bin1000000010010110010…
…0001001111000110001
3111012101021112110211000
42000211210021320301
54230231203010040
6143232245512213
712655324510140
oct2004544117061
9435337473730
10138069188145
1153611503669
1222913112669
1310034860a85
14697b023757
1538d1479130
hex2025909e31

138069188145 has 64 divisors (see below), whose sum is σ = 280571328000. Its totient is φ = 63106138368.

The previous prime is 138069188137. The next prime is 138069188161. The reversal of 138069188145 is 541881960831.

It is a happy number.

It is not a de Polignac number, because 138069188145 - 23 = 138069188137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 138069188091 and 138069188100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7805371 + ... + 7823039.

It is an arithmetic number, because the mean of its divisors is an integer number (4383927000).

Almost surely, 2138069188145 is an apocalyptic number.

138069188145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138069188145 is an abundant number, since it is smaller than the sum of its proper divisors (142502139855).

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

138069188145 is a wasteful number, since it uses less digits than its factorization.

138069188145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25959 (or 25953 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 138069188145 in words is "one hundred thirty-eight billion, sixty-nine million, one hundred eighty-eight thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 8269 17669 24807 41345 53007 57883 74421 88345 123683 124035 159021 173649 223263 265035 289415 371049 372105 477063 520947 618415 795105 868245 1113147 1116315 1562841 1855245 2385315 2604735 3339441 5565735 7814205 16697205 146104961 438314883 730524805 1022734727 1314944649 2191574415 3068204181 3944833947 5113673635 6574723245 9204612543 15341020905 19724169735 27613837629 46023062715 138069188145