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137641208320 = 295711698261
BaseRepresentation
bin1000000000110000001…
…1100010101000000000
3111011021110012211212101
42000030003202220000
54223342122131240
6143122000440144
712641606652430
oct2001403425000
9434243184771
10137641208320
1153411968030
1222813919054
13cc96ca3b85
14693a2582c0
1538a8ada39a
hex200c0e2a00

137641208320 has 160 divisors (see below), whose sum is σ = 411449486976. Its totient is φ = 42901094400.

The previous prime is 137641208317. The next prime is 137641208321. The reversal of 137641208320 is 23802146731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 137641208320.

It is not an unprimeable number, because it can be changed into a prime (137641208321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152011 + ... + 546250.

Almost surely, 2137641208320 is an apocalyptic number.

137641208320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137641208320 is an abundant number, since it is smaller than the sum of its proper divisors (273808278656).

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

137641208320 is an equidigital number, since it uses as much as digits as its factorization.

137641208320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698302 (or 698286 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 137641208320 in words is "one hundred thirty-seven billion, six hundred forty-one million, two hundred eight thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 256 280 308 320 352 385 440 448 512 560 616 640 704 770 880 896 1120 1232 1280 1408 1540 1760 1792 2240 2464 2560 2816 3080 3520 3584 4480 4928 5632 6160 7040 8960 9856 12320 14080 17920 19712 24640 28160 39424 49280 98560 197120 698261 1396522 2793044 3491305 4887827 5586088 6982610 7680871 9775654 11172176 13965220 15361742 19551308 22344352 24439135 27930440 30723484 38404355 39102616 44688704 48878270 53766097 55860880 61446968 76808710 78205232 89377408 97756540 107532194 111721760 122893936 153617420 156410464 178754816 195513080 215064388 223443520 245787872 268830485 307234840 312820928 357509632 391026160 430128776 446887040 491575744 537660970 614469680 625641856 782052320 860257552 893774080 983151488 1075321940 1228939360 1251283712 1564104640 1720515104 1787548160 1966302976 2150643880 2457878720 2502567424 3128209280 3441030208 3932605952 4301287760 4915757440 6256418560 6882060416 8602575520 9831514880 12512837120 13764120832 17205151040 19663029760 27528241664 34410302080 68820604160 137641208320