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134523363150 = 232521175136187
BaseRepresentation
bin111110101001000110…
…1111001111101001110
3110212020011102220100100
41331102031321331032
54201000440110100
6141444342311530
712501420502011
oct1752215717516
9425204386310
10134523363150
1152061a27890
12220a37285a6
13c8bb06b487
146722137378
153775019400
hex1f52379f4e

134523363150 has 144 divisors (see below), whose sum is σ = 394811659008. Its totient is φ = 32567400000.

The previous prime is 134523363071. The next prime is 134523363157. The reversal of 134523363150 is 51363325431.

134523363150 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 2 + 336 + 315 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134523363157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3699357 + ... + 3735543.

It is an arithmetic number, because the mean of its divisors is an integer number (2741747632).

Almost surely, 2134523363150 is an apocalyptic number.

134523363150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134523363150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197405829504).

134523363150 is an abundant number, since it is smaller than the sum of its proper divisors (260288295858).

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

134523363150 is a wasteful number, since it uses less digits than its factorization.

134523363150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36967 (or 36959 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 134523363150 its reverse (51363325431), we get a palindrome (185886688581).

The spelling of 134523363150 in words is "one hundred thirty-four billion, five hundred twenty-three million, three hundred sixty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 751 825 990 1502 1650 2253 2475 3755 4506 4950 6759 7510 8261 11265 13518 16522 18775 22530 24783 33795 36187 37550 41305 49566 56325 67590 72374 74349 82610 108561 112650 123915 148698 168975 180935 206525 217122 247830 325683 337950 361870 371745 398057 413050 542805 619575 651366 743490 796114 904675 1085610 1194171 1239150 1628415 1809350 1858725 1990285 2388342 2714025 3256830 3582513 3717450 3980570 5428050 5970855 7165026 8142075 9951425 11941710 16284150 17912565 19902850 27176437 29854275 35825130 54352874 59708550 81529311 89562825 135882185 163058622 179125650 244587933 271764370 298940807 407646555 489175866 597881614 679410925 815293110 896822421 1222939665 1358821850 1494704035 1793644842 2038232775 2445879330 2690467263 2989408070 4076465550 4484112105 5380934526 6114698325 7473520175 8968224210 12229396650 13452336315 14947040350 22420560525 26904672630 44841121050 67261681575 134523363150