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137040161064 = 233191934393547
BaseRepresentation
bin111111110100000111…
…0101110100100101000
3111002201120020111000220
41333220032232210220
54221124240123224
6142542210130040
712620661102162
oct1775016564450
9432646214026
10137040161064
1153133664364
1222686580920
13cbcc5cc701
1468c04bb932
153870e62279
hex1fe83ae928

137040161064 has 128 divisors (see below), whose sum is σ = 363428736000. Its totient is φ = 42941435904.

The previous prime is 137040161053. The next prime is 137040161077. The reversal of 137040161064 is 460161040731.

It is a super-2 number, since 2×1370401610642 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38633739 + ... + 38637285.

It is an arithmetic number, because the mean of its divisors is an integer number (2839287000).

Almost surely, 2137040161064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137040161064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181714368000).

137040161064 is an abundant number, since it is smaller than the sum of its proper divisors (226388574936).

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

137040161064 is a wasteful number, since it uses less digits than its factorization.

137040161064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4207 (or 4203 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 137040161064 in words is "one hundred thirty-seven billion, forty million, one hundred sixty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 193 228 386 439 456 579 772 878 1158 1317 1544 1756 2316 2634 3512 3547 3667 4632 5268 7094 7334 8341 10536 10641 11001 14188 14668 16682 21282 22002 25023 28376 29336 33364 42564 44004 50046 66728 67393 84727 85128 88008 100092 134786 169454 200184 202179 254181 269572 338908 404358 508362 539144 677816 684571 808716 1016724 1369142 1557133 1609813 1617432 2033448 2053713 2738284 3114266 3219626 4107426 4671399 4829439 5476568 6228532 6439252 8214852 9342798 9658878 12457064 12878504 13006849 16429704 18685596 19317756 26013698 29585527 37371192 38635512 39020547 52027396 59171054 78041094 88756581 104054792 118342108 156082188 177513162 236684216 300526669 312164376 355026324 601053338 710052648 901580007 1202106676 1803160014 2404213352 3606320028 5710006711 7212640056 11420013422 17130020133 22840026844 34260040266 45680053688 68520080532 137040161064