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134771130 = 232513127907
BaseRepresentation
bin10000000100001…
…11000110111010
3100101121002020100
420002013012322
5234000134010
621212340230
73224351514
oct1002070672
9311532210
10134771130
116a0905aa
1239174676
1321bc9340
1413c82bb4
15bc722c0
hex80871ba

134771130 has 96 divisors (see below), whose sum is σ = 380749824. Its totient is φ = 32876928.

The previous prime is 134771129. The next prime is 134771177. The reversal of 134771130 is 31177431.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 134771094 and 134771103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148137 + ... + 149043.

It is an arithmetic number, because the mean of its divisors is an integer number (3966144).

Almost surely, 2134771130 is an apocalyptic number.

134771130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134771130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190374912).

134771130 is an abundant number, since it is smaller than the sum of its proper divisors (245978694).

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

134771130 is a wasteful number, since it uses less digits than its factorization.

134771130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 134771130 is about 11609.0968640976. The cubic root of 134771130 is about 512.7027221018.

The spelling of 134771130 in words is "one hundred thirty-four million, seven hundred seventy-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 127 130 195 234 254 381 390 585 635 762 907 1143 1170 1270 1651 1814 1905 2286 2721 3302 3810 4535 4953 5442 5715 8163 8255 9070 9906 11430 11791 13605 14859 16326 16510 23582 24765 27210 29718 35373 40815 49530 58955 70746 74295 81630 106119 115189 117910 148590 176865 212238 230378 345567 353730 530595 575945 691134 1036701 1061190 1151890 1497457 1727835 2073402 2994914 3455670 4492371 5183505 7487285 8984742 10367010 13477113 14974570 22461855 26954226 44923710 67385565 134771130