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134225258880 = 2735611146049
BaseRepresentation
bin111110100000001110…
…0101110100110000000
3110211110101111122011110
41331000130232212000
54144343131241010
6141355013043320
712461140606236
oct1750034564600
9424411448143
10134225258880
1151a19728719
122201b926540
13c87138550b
1466d46d8956
153758c82120
hex1f4072e980

134225258880 has 128 divisors (see below), whose sum is σ = 434857212000. Its totient is φ = 35206594560.

The previous prime is 134225258873. The next prime is 134225258897. The reversal of 134225258880 is 88852522431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 455905 + ... + 690144.

Almost surely, 2134225258880 is an apocalyptic number.

134225258880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134225258880 is an abundant number, since it is smaller than the sum of its proper divisors (300631953120).

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

134225258880 is a wasteful number, since it uses less digits than its factorization.

134225258880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146132 (or 1146120 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The spelling of 134225258880 in words is "one hundred thirty-four billion, two hundred twenty-five million, two hundred fifty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 128 160 183 192 240 244 305 320 366 384 480 488 610 640 732 915 960 976 1220 1464 1830 1920 1952 2440 2928 3660 3904 4880 5856 7320 7808 9760 11712 14640 19520 23424 29280 39040 58560 117120 1146049 2292098 3438147 4584196 5730245 6876294 9168392 11460490 13752588 17190735 18336784 22920980 27505176 34381470 36673568 45841960 55010352 68762940 69908989 73347136 91683920 110020704 137525880 139817978 146694272 183367840 209726967 220041408 275051760 279635956 349544945 366735680 419453934 440082816 550103520 559271912 699089890 733471360 838907868 1048634835 1100207040 1118543824 1398179780 1677815736 2097269670 2200414080 2237087648 2796359560 3355631472 4194539340 4474175296 5592719120 6711262944 8389078680 8948350592 11185438240 13422525888 16778157360 22370876480 26845051776 33556314720 44741752960 67112629440 134225258880