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134252105210000 = 2454109123167069
BaseRepresentation
bin11110100001101000000001…
…000010101001100010010000
3122121100101011001010121000222
4132201220001002221202100
5120044041302413210000
61153310322105332212
740164252214511051
oct3641500102514220
9577311131117028
10134252105210000
113985aaa849a518
1213082b5a497068
1359babc4632b9b
142521b9d754728
15107c3130b3a85
hex7a1a010a9890

134252105210000 has 100 divisors (see below), whose sum is σ = 328019772494700. Its totient is φ = 53208173376000.

The previous prime is 134252105209991. The next prime is 134252105210017. The reversal of 134252105210000 is 12501252431.

It can be written as a sum of positive squares in 10 ways, for example, as 123391574046976 + 10860531163024 = 11108176^2 + 3295532^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 60493535 + ... + 62673534.

It is an arithmetic number, because the mean of its divisors is an integer number (3280197724947).

Almost surely, 2134252105210000 is an apocalyptic number.

134252105210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134252105210000 is an abundant number, since it is smaller than the sum of its proper divisors (193767667284700).

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

134252105210000 is a wasteful number, since it uses less digits than its factorization.

134252105210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123167206 (or 123167185 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 134252105210000 its reverse (12501252431), we get a palindrome (134264606462431).

The spelling of 134252105210000 in words is "one hundred thirty-four trillion, two hundred fifty-two billion, one hundred five million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 109 125 200 218 250 400 436 500 545 625 872 1000 1090 1250 1744 2000 2180 2500 2725 4360 5000 5450 8720 10000 10900 13625 21800 27250 43600 54500 68125 109000 136250 218000 272500 545000 1090000 123167069 246334138 492668276 615835345 985336552 1231670690 1970673104 2463341380 3079176725 4926682760 6158353450 9853365520 12316706900 13425210521 15395883625 24633413800 26850421042 30791767250 49266827600 53700842084 61583534500 67126052605 76979418125 107401684168 123167069000 134252105210 153958836250 214803368336 246334138000 268504210420 307917672500 335630263025 537008420840 615835345000 671260526050 1074016841680 1231670690000 1342521052100 1678151315125 2685042104200 3356302630250 5370084208400 6712605260500 8390756575625 13425210521000 16781513151250 26850421042000 33563026302500 67126052605000 134252105210000