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134134121000 = 23531114981839
BaseRepresentation
bin111110011101100000…
…1000100001000101000
3110211020001000100111102
41330323001010020220
54144201313333000
6141341555420532
712455653134155
oct1747301041050
9424201010442
10134134121000
115198223a460
1221bb52b4748
13c858525689
1466c657322c
153750c7d3d5
hex1f3b044228

134134121000 has 128 divisors (see below), whose sum is σ = 344710080000. Its totient is φ = 48448096000.

The previous prime is 134134120979. The next prime is 134134121041. The reversal of 134134121000 is 121431431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1598081 + ... + 1679919.

It is an arithmetic number, because the mean of its divisors is an integer number (2693047500).

Almost surely, 2134134121000 is an apocalyptic number.

134134121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134134121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172355040000).

134134121000 is an abundant number, since it is smaller than the sum of its proper divisors (210575959000).

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

134134121000 is a wasteful number, since it uses less digits than its factorization.

134134121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82020 (or 82006 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 134134121000 its reverse (121431431), we get a palindrome (134255552431).

The spelling of 134134121000 in words is "one hundred thirty-four billion, one hundred thirty-four million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 149 200 220 250 275 298 440 500 550 596 745 1000 1100 1192 1375 1490 1639 2200 2750 2980 3278 3725 5500 5960 6556 7450 8195 11000 13112 14900 16390 18625 29800 32780 37250 40975 65560 74500 81839 81950 149000 163678 163900 204875 327356 327800 409195 409750 654712 818390 819500 900229 1636780 1639000 1800458 2045975 3273560 3600916 4091950 4501145 7201832 8183900 9002290 10229875 12194011 16367800 18004580 20459750 22505725 24388022 36009160 40919500 45011450 48776044 60970055 81839000 90022900 97552088 112528625 121940110 134134121 180045800 225057250 243880220 268268242 304850275 450114500 487760440 536536484 609700550 670670605 900229000 1073072968 1219401100 1341341210 1524251375 2438802200 2682682420 3048502750 3353353025 5365364840 6097005500 6706706050 12194011000 13413412100 16766765125 26826824200 33533530250 67067060500 134134121000