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134148065040 = 243251116937887
BaseRepresentation
bin111110011101111011…
…0010000011100010000
3110211021000020210010100
41330323312100130100
54144213401040130
6141343214332400
712456212511303
oct1747366203420
9424230223110
10134148065040
115198a0a3860
1221bb9aba100
13c85b3984a2
1466c8362b3a
1537520d4c60
hex1f3bd90710

134148065040 has 120 divisors (see below), whose sum is σ = 491469758208. Its totient is φ = 32520741120.

The previous prime is 134148065039. The next prime is 134148065081. The reversal of 134148065040 is 40560841431.

134148065040 is a `hidden beast` number, since 1 + 3 + 4 + 148 + 0 + 6 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 134148064986 and 134148065004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8461024 + ... + 8476863.

Almost surely, 2134148065040 is an apocalyptic number.

134148065040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134148065040 is an abundant number, since it is smaller than the sum of its proper divisors (357321693168).

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

134148065040 is a wasteful number, since it uses less digits than its factorization.

134148065040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16937917 (or 16937908 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 134148065040 in words is "one hundred thirty-four billion, one hundred forty-eight million, sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 16937887 33875774 50813661 67751548 84689435 101627322 135503096 152440983 169378870 186316757 203254644 254068305 271006192 304881966 338757740 372633514 406509288 508136610 558950271 609763932 677515480 745267028 762204915 813018576 931583785 1016273220 1117900542 1219527864 1355030960 1490534056 1524409830 1676850813 1863167570 2032546440 2235801084 2439055728 2794751355 2981068112 3048819660 3353701626 3726335140 4065092880 4471602168 5589502710 6097639320 6707403252 7452670280 8384254065 8943204336 11179005420 12195278640 13414806504 14905340560 16768508130 22358010840 26829613008 33537016260 44716021680 67074032520 134148065040