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134668000146672 = 2433617171976791
BaseRepresentation
bin11110100111101011010110…
…010011111011010011110000
3122122211010122110211102001000
4132213223112103323103300
5120122400031014143142
61154225343013242000
740236304404241236
oct3647532623732360
9578733573742030
10134668000146672
1139a00418328013
121312b688933300
135a1b1a40300a5
142537d7493a956
15108805514d14c
hex7a7ad64fb4f0

134668000146672 has 160 divisors (see below), whose sum is σ = 398417455365120. Its totient is φ = 43531562592000.

The previous prime is 134668000146451. The next prime is 134668000146707. The reversal of 134668000146672 is 276641000866431.

134668000146672 is a `hidden beast` number, since 1 + 3 + 466 + 80 + 0 + 0 + 1 + 46 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34117404 + ... + 37859387.

It is an arithmetic number, because the mean of its divisors is an integer number (2490109096032).

Almost surely, 2134668000146672 is an apocalyptic number.

134668000146672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134668000146672 is an abundant number, since it is smaller than the sum of its proper divisors (263749455218448).

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

134668000146672 is a wasteful number, since it uses less digits than its factorization.

134668000146672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71976940 (or 71976928 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 134668000146672 in words is "one hundred thirty-four trillion, six hundred sixty-eight billion, one hundred forty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 71 72 108 122 142 144 183 213 216 244 284 366 426 432 488 549 568 639 732 852 976 1098 1136 1278 1464 1647 1704 1917 2196 2556 2928 3294 3408 3834 4331 4392 5112 6588 7668 8662 8784 10224 12993 13176 15336 17324 25986 26352 30672 34648 38979 51972 69296 77958 103944 116937 155916 207888 233874 311832 467748 623664 935496 1870992 71976791 143953582 215930373 287907164 431860746 575814328 647791119 863721492 1151628656 1295582238 1727442984 1943373357 2591164476 3454885968 3886746714 4390584251 5110352161 5182328952 7773493428 8781168502 10220704322 10364657904 13171752753 15331056483 15546986856 17562337004 20441408644 26343505506 30662112966 31093973712 35124674008 39515258259 40882817288 45993169449 52687011012 61324225932 70249348016 79030516518 81765634576 91986338898 105374022024 118545774777 122648451864 137979508347 158061033036 183972677796 210748044048 237091549554 245296903728 275959016694 311731481821 316122066072 367945355592 474183099108 551918033388 623462963642 632244132144 735890711184 935194445463 948366198216 1103836066776 1246925927284 1870388890926 1896732396432 2207672133552 2493851854568 2805583336389 3740777781852 4987703709136 5611166672778 7481555563704 8416750009167 11222333345556 14963111127408 16833500018334 22444666691112 33667000036668 44889333382224 67334000073336 134668000146672