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138132439536 = 243713206315329
BaseRepresentation
bin1000000010100101010…
…1011100000111110000
3111012112200112222102010
42000221111130013300
54230343401031121
6143242425322520
712660023235420
oct2005125340760
9435480488363
10138132439536
1153644185343
1222930336440
13100449a8930
1469855aa480
1538d6cc0376
hex202955c1f0

138132439536 has 160 divisors (see below), whose sum is σ = 439431874560. Its totient is φ = 36410499072.

The previous prime is 138132439517. The next prime is 138132439537. The reversal of 138132439536 is 635934231831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138132439537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9003520 + ... + 9018848.

It is an arithmetic number, because the mean of its divisors is an integer number (2746449216).

Almost surely, 2138132439536 is an apocalyptic number.

138132439536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138132439536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219715937280).

138132439536 is an abundant number, since it is smaller than the sum of its proper divisors (301299435024).

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

138132439536 is a wasteful number, since it uses less digits than its factorization.

138132439536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17423 (or 17417 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 48.

The spelling of 138132439536 in words is "one hundred thirty-eight billion, one hundred thirty-two million, four hundred thirty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2063 2184 4126 4368 6189 8252 12378 14441 15329 16504 24756 26819 28882 30658 33008 43323 45987 49512 53638 57764 61316 80457 86646 91974 99024 107276 107303 115528 122632 160914 173292 183948 187733 199277 214552 214606 231056 245264 321828 321909 346584 367896 375466 398554 429104 429212 563199 597831 643656 643818 693168 735792 750932 797108 858424 1126398 1195662 1287312 1287636 1394939 1501864 1594216 1716848 2252796 2391324 2575272 2789878 3003728 3188432 4184817 4505592 4782648 5150544 5579756 8369634 9011184 9565296 11159512 16739268 22319024 31623727 33478536 63247454 66957072 94871181 126494908 189742362 221366089 252989816 379484724 411108451 442732178 505979632 664098267 758969448 822216902 885464356 1233325353 1328196534 1517938896 1644433804 1770928712 2466650706 2656393068 2877759157 3288867608 3541857424 4933301412 5312786136 5755518314 6577735216 8633277471 9866602824 10625572272 11511036628 17266554942 19733205648 23022073256 34533109884 46044146512 69066219768 138132439536