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134225141200000 = 2755335562853
BaseRepresentation
bin11110100001001110111001…
…110111000111010010000000
3122121020210112212120221222221
4132201032321313013102000
5120043121042121400000
61153250102325140424
740162306061302024
oct3641167167072200
9577223485527887
10134225141200000
113984a620a68734
121307989425a714
1359b84b8243896
142520762600384
15107b785c8c61a
hex7a13b9dc7480

134225141200000 has 96 divisors (see below), whose sum is σ = 334230669469620. Its totient is φ = 53690056320000.

The previous prime is 134225141199979. The next prime is 134225141200013. The reversal of 134225141200000 is 2141522431.

It can be written as a sum of positive squares in 6 ways, for example, as 39238598021184 + 94986543178816 = 6264072^2 + 9746104^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 167381427 + ... + 168181426.

Almost surely, 2134225141200000 is an apocalyptic number.

134225141200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134225141200000 is an abundant number, since it is smaller than the sum of its proper divisors (200005528269620).

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

134225141200000 is an frugal number, since it uses more digits than its factorization.

134225141200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335562892 (or 335562860 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 134225141200000 its reverse (2141522431), we get a palindrome (134227282722431).

The spelling of 134225141200000 in words is "one hundred thirty-four trillion, two hundred twenty-five billion, one hundred forty-one million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 16000 20000 25000 40000 50000 80000 100000 200000 400000 335562853 671125706 1342251412 1677814265 2684502824 3355628530 5369005648 6711257060 8389071325 10738011296 13422514120 16778142650 21476022592 26845028240 33556285300 41945356625 42952045184 53690056480 67112570600 83890713250 107380112960 134225141200 167781426500 209726783125 214760225920 268450282400 335562853000 419453566250 536900564800 671125706000 838907132500 1048633915625 1073801129600 1342251412000 1677814265000 2097267831250 2684502824000 3355628530000 4194535662500 5369005648000 6711257060000 8389071325000 13422514120000 16778142650000 26845028240000 33556285300000 67112570600000 134225141200000