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138721869 = 331113193161
BaseRepresentation
bin10000100010010…
…11101001001101
3100200000210122000
420101023221031
5241003044434
621433142513
73303054636
oct1021135115
9320023560
10138721869
1171339880
123a55aa39
1322980660
14145d088d
15c2a2b99
hex844ba4d

138721869 has 128 divisors (see below), whose sum is σ = 266649600. Its totient is φ = 69984000.

The previous prime is 138721837. The next prime is 138721871. The reversal of 138721869 is 968127831.

It is not a de Polignac number, because 138721869 - 25 = 138721837 is a prime.

It is a super-2 number, since 2×1387218692 = 38487513877706322, which contains 22 as substring.

Its product of digits (145152) is a multiple of the sum of its prime factors (144).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138721879) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2274099 + ... + 2274159.

It is an arithmetic number, because the mean of its divisors is an integer number (2083200).

Almost surely, 2138721869 is an apocalyptic number.

138721869 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

138721869 is a deficient number, since it is larger than the sum of its proper divisors (127927731).

138721869 is a wasteful number, since it uses less digits than its factorization.

138721869 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 138 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 138721869 is about 11778.0248344109. The cubic root of 138721869 is about 517.6644132077.

The spelling of 138721869 in words is "one hundred thirty-eight million, seven hundred twenty-one thousand, eight hundred sixty-nine".

Divisors: 1 3 9 11 13 19 27 31 33 39 57 61 93 99 117 143 171 183 209 247 279 297 341 351 403 429 513 549 589 627 671 741 793 837 1023 1159 1209 1287 1647 1767 1881 1891 2013 2223 2379 2717 3069 3477 3627 3861 4433 5301 5643 5673 6039 6479 6669 7137 7657 8151 8723 9207 10431 10881 12749 13299 15067 15903 17019 18117 19437 20801 21411 22971 24453 24583 26169 31293 35929 38247 39897 45201 51057 58311 62403 68913 73359 73749 78507 84227 107787 114741 119691 135603 165737 174933 187209 206739 221247 235521 252681 270413 323361 344223 395219 406809 467077 497211 561627 663741 758043 811239 970083 1185657 1401231 1491633 2274129 2433717 3556971 4203693 4474899 5137847 7301151 10670913 12611079 15413541 46240623 138721869