Search a number
-
+
137554065660 = 2235112186110181
BaseRepresentation
bin1000000000011011011…
…1000111100011111100
3111011001101020112121110
42000012313013203330
54223202320100120
6143105205002020
712636501160254
oct2000667074374
9434041215543
10137554065660
1153377758500
12227aa6b3310
13cc81c1267b
14692c852964
1538a11252e0
hex2006dc78fc

137554065660 has 144 divisors (see below), whose sum is σ = 423617304096. Its totient is φ = 33325248000.

The previous prime is 137554065601. The next prime is 137554065707. The reversal of 137554065660 is 66560455731.

It is a super-2 number, since 2×1375540656602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13505770 + ... + 13515950.

It is an arithmetic number, because the mean of its divisors is an integer number (2941786834).

Almost surely, 2137554065660 is an apocalyptic number.

137554065660 is a gapful number since it is divisible by the number (10) 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 137554065660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211808652048).

137554065660 is an abundant number, since it is smaller than the sum of its proper divisors (286063238436).

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

137554065660 is a wasteful number, since it uses less digits than its factorization.

137554065660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12076 (or 12063 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 48.

The spelling of 137554065660 in words is "one hundred thirty-seven billion, five hundred fifty-four million, sixty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 1861 2420 3630 3722 5583 7260 7444 9305 10181 11166 18610 20362 20471 22332 27915 30543 37220 40724 40942 50905 55830 61086 61413 81884 101810 102355 111660 111991 122172 122826 152715 203620 204710 223982 225181 245652 305430 307065 335973 409420 447964 450362 559955 610860 614130 671946 675543 900724 1119910 1125905 1228260 1231901 1343892 1351086 1679865 2239820 2251810 2463802 2702172 3359730 3377715 3695703 4503620 4927604 6159505 6719460 6755430 7391406 12319010 13510860 14782812 18478515 18946841 24638020 36957030 37893682 56840523 73914060 75787364 94734205 113681046 189468410 208415251 227362092 284202615 378936820 416830502 568405230 625245753 833661004 1042076255 1136810460 1250491506 2084152510 2292567761 2500983012 3126228765 4168305020 4585135522 6252457530 6877703283 9170271044 11462838805 12504915060 13755406566 22925677610 27510813132 34388516415 45851355220 68777032830 137554065660