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134124556896 = 253211411032617
BaseRepresentation
bin111110011101001110…
…0100101001001100000
3110211012101000110000100
41330322130211021200
54144141341310041
6141341014422400
712455505631401
oct1747234451140
9424171013010
10134124556896
11519778a7840
1221bb2061a00
13c856557345
1466c51a39a8
15374eede6b6
hex1f3a725260

134124556896 has 144 divisors (see below), whose sum is σ = 426239927568. Its totient is φ = 39652454400.

The previous prime is 134124556759. The next prime is 134124556897. The reversal of 134124556896 is 698655421431.

134124556896 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 2 + 4 + 556 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134124556897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386421 + ... + 646196.

It is an arithmetic number, because the mean of its divisors is an integer number (2959999497).

Almost surely, 2134124556896 is an apocalyptic number.

134124556896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

134124556896 is an abundant number, since it is smaller than the sum of its proper divisors (292115370672).

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

134124556896 is a wasteful number, since it uses less digits than its factorization.

134124556896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032685 (or 1032674 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 134124556896 in words is "one hundred thirty-four billion, one hundred twenty-four million, five hundred fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 41 44 48 66 72 82 88 96 99 123 132 144 164 176 198 246 264 288 328 352 369 396 451 492 528 656 738 792 902 984 1056 1312 1353 1476 1584 1804 1968 2706 2952 3168 3608 3936 4059 5412 5904 7216 8118 10824 11808 14432 16236 21648 32472 43296 64944 129888 1032617 2065234 3097851 4130468 6195702 8260936 9293553 11358787 12391404 16521872 18587106 22717574 24782808 33043744 34076361 37174212 42337297 45435148 49565616 68152722 74348424 84674594 90870296 99131232 102229083 127011891 136305444 148696848 169349188 181740592 204458166 254023782 272610888 297393696 338698376 363481184 381035673 408916332 465710267 508047564 545221776 677396752 762071346 817832664 931420534 1016095128 1090443552 1354793504 1397130801 1524142692 1635665328 1862841068 2032190256 2794261602 3048285384 3271330656 3725682136 4064380512 4191392403 5588523204 6096570768 7451364272 8382784806 11177046408 12193141536 14902728544 16765569612 22354092816 33531139224 44708185632 67062278448 134124556896