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134158284468 = 223213413969259
BaseRepresentation
bin111110011110001110…
…1001111011010110100
3110211021201110222112200
41330330131033122310
54144224010100333
6141344221344500
712456365413455
oct1747435173264
9424251428480
10134158284468
115199494386a
1222001408130
13c860535ba0
1466c986312c
153752e52c13
hex1f3c74f6b4

134158284468 has 72 divisors (see below), whose sum is σ = 365302173600. Its totient is φ = 41268902976.

The previous prime is 134158284461. The next prime is 134158284529. The reversal of 134158284468 is 864482851431.

134158284468 is a `hidden beast` number, since 1 + 3 + 4 + 158 + 28 + 4 + 468 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134158284461) 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 23 ways as a sum of consecutive naturals, for example, 1902423 + ... + 1971681.

It is an arithmetic number, because the mean of its divisors is an integer number (5073641300).

Almost surely, 2134158284468 is an apocalyptic number.

134158284468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

134158284468 is an abundant number, since it is smaller than the sum of its proper divisors (231143889132).

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

134158284468 is a wasteful number, since it uses less digits than its factorization.

134158284468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73421 (or 73416 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 54.

The spelling of 134158284468 in words is "one hundred thirty-four billion, one hundred fifty-eight million, two hundred eighty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 4139 8278 12417 16556 24834 37251 49668 53807 69259 74502 107614 138518 149004 161421 207777 215228 277036 322842 415554 484263 623331 645684 831108 900367 968526 1246662 1800734 1937052 2493324 2701101 3601468 5402202 8103303 10804404 16206606 32413212 286663001 573326002 859989003 1146652004 1719978006 2579967009 3439956012 3726619013 5159934018 7453238026 10319868036 11179857039 14906476052 22359714078 33539571117 44719428156 67079142234 134158284468