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134119578320 = 245713171083707
BaseRepresentation
bin111110011101000100…
…1100101101011010000
3110211012000122111200122
41330322021211223100
54144134103001240
6141340320005412
712455415414530
oct1747211455320
9424160574618
10134119578320
1151975007312
1221bb0460868
13c855503240
1466c46694c0
15374e8594b5
hex1f3a265ad0

134119578320 has 160 divisors (see below), whose sum is σ = 406364491008. Its totient is φ = 39949737984.

The previous prime is 134119578283. The next prime is 134119578343. The reversal of 134119578320 is 23875911431.

It is a super-2 number, since 2×1341195783202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418094 + ... + 665613.

Almost surely, 2134119578320 is an apocalyptic number.

134119578320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134119578320 is an abundant number, since it is smaller than the sum of its proper divisors (272244912688).

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

134119578320 is a wasteful number, since it uses less digits than its factorization.

134119578320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083757 (or 1083751 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 134119578320 in words is "one hundred thirty-four billion, one hundred nineteen million, five hundred seventy-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 17 20 26 28 34 35 40 52 56 65 68 70 80 85 91 104 112 119 130 136 140 170 182 208 221 238 260 272 280 340 364 442 455 476 520 560 595 680 728 884 910 952 1040 1105 1190 1360 1456 1547 1768 1820 1904 2210 2380 3094 3536 3640 4420 4760 6188 7280 7735 8840 9520 12376 15470 17680 24752 30940 61880 123760 1083707 2167414 4334828 5418535 7585949 8669656 10837070 14088191 15171898 17339312 18423019 21674140 28176382 30343796 36846038 37929745 43348280 56352764 60687592 70440955 73692076 75859490 86696560 92115095 98617337 112705528 121375184 128961133 140881910 147384152 151718980 184230190 197234674 225411056 239499247 257922266 281763820 294768304 303437960 368460380 394469348 478998494 493086685 515844532 563527640 606875920 644805665 736920760 788938696 957996988 986173370 1031689064 1127055280 1197496235 1289611330 1473841520 1577877392 1676494729 1915993976 1972346740 2063378128 2394992470 2579222660 3352989458 3831987952 3944693480 4789984940 5158445320 6705978916 7889386960 8382473645 9579969880 10316890640 13411957832 16764947290 19159939760 26823915664 33529894580 67059789160 134119578320