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136637071340 = 225721137342569
BaseRepresentation
bin111111101000000110…
…1000011111111101100
3111001200110202101212212
41333100031003333230
54214313042240330
6142434210345552
712604664641400
oct1772015037754
9431613671785
10136637071340
1152a47079060
122259358b2b8
13cb66c48993
146882b51100
15384a88d295
hex1fd0343fec

136637071340 has 144 divisors (see below), whose sum is σ = 373971336480. Its totient is φ = 41437025280.

The previous prime is 136637071309. The next prime is 136637071381. The reversal of 136637071340 is 43170736631.

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, 227576 + ... + 570144.

It is an arithmetic number, because the mean of its divisors is an integer number (2597023170).

Almost surely, 2136637071340 is an apocalyptic number.

136637071340 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 136637071340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186985668240).

136637071340 is an abundant number, since it is smaller than the sum of its proper divisors (237334265140).

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

136637071340 is a wasteful number, since it uses less digits than its factorization.

136637071340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342640 (or 342631 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 41.

The spelling of 136637071340 in words is "one hundred thirty-six billion, six hundred thirty-seven million, seventy-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 37 44 49 55 70 74 77 98 110 140 148 154 185 196 220 245 259 308 370 385 407 490 518 539 740 770 814 980 1036 1078 1295 1540 1628 1813 2035 2156 2590 2695 2849 3626 4070 5180 5390 5698 7252 8140 9065 10780 11396 14245 18130 19943 28490 36260 39886 56980 79772 99715 199430 342569 398860 685138 1370276 1712845 2397983 3425690 3768259 4795966 6851380 7536518 9591932 11989915 12675053 15073036 16785881 18841295 23979830 25350106 26377813 33571762 37682590 47959660 50700212 52755626 63375265 67143524 75365180 83929405 88725371 105511252 126750530 131889065 139425583 167858810 177450742 184644691 253501060 263778130 278851166 335717620 354901484 369289382 443626855 527556260 557702332 621077597 697127915 738578764 887253710 923223455 975979081 1242155194 1394255830 1774507420 1846446910 1951958162 2484310388 2788511660 3105387985 3692893820 3903916324 4879895405 6210775970 6831853567 9759790810 12421551940 13663707134 19519581620 27327414268 34159267835 68318535670 136637071340