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134669144295 = 33573143106907
BaseRepresentation
bin111110101101011101…
…0000001000011100111
3110212121022202100111000
41331122322001003213
54201300300104140
6141511031044343
712505140560640
oct1753272010347
9425538670430
10134669144295
1152127248374
12221245106b3
13c912320cca
1467376446c7
153782c13a30
hex1f5ae810e7

134669144295 has 128 divisors (see below), whose sum is σ = 289010810880. Its totient is φ = 58191073920.

The previous prime is 134669144287. The next prime is 134669144299. The reversal of 134669144295 is 592441966431.

134669144295 is a `hidden beast` number, since 1 + 3 + 466 + 91 + 4 + 4 + 2 + 95 = 666.

It is not a de Polignac number, because 134669144295 - 23 = 134669144287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134669144299) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1206232 + ... + 1313138.

It is an arithmetic number, because the mean of its divisors is an integer number (2257896960).

Almost surely, 2134669144295 is an apocalyptic number.

134669144295 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

134669144295 is an abundant number, since it is smaller than the sum of its proper divisors (154341666585).

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

134669144295 is a wasteful number, since it uses less digits than its factorization.

134669144295 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107002 (or 106996 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 134669144295 in words is "one hundred thirty-four billion, six hundred sixty-nine million, one hundred forty-four thousand, two hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 27 31 35 43 45 63 93 105 129 135 155 189 215 217 279 301 315 387 465 645 651 837 903 945 1085 1161 1333 1395 1505 1935 1953 2709 3255 3999 4185 4515 5805 5859 6665 8127 9331 9765 11997 13545 19995 27993 29295 35991 40635 46655 59985 83979 106907 139965 179955 251937 320721 419895 534535 748349 962163 1259685 1603605 2245047 2886489 3314117 3741745 4597001 4810815 6735141 9942351 11225235 13791003 14432445 16570585 20205423 22985005 23198819 29827053 32179007 33675705 41373009 49711755 68955015 69596457 89481159 96537021 101027115 115994095 124119027 142507031 149135265 160895035 206865045 208789371 289611063 347982285 427521093 447405795 482685105 620595135 626368113 712535155 868833189 997549217 1043946855 1282563279 1448055315 2137605465 2992647651 3131840565 3847689837 4344165945 4987746085 6412816395 8977942953 14963238255 19238449185 26933828859 44889714765 134669144295