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134944460 = 22571997523
BaseRepresentation
bin10000000101100…
…01011011001100
3100101220212222222
420002301123030
5234021210320
621220154512
73226003040
oct1002613314
9311825888
10134944460
116a199852
1239238a38
1321c5a1c1
1413cca020
15bca8825
hex80b16cc

134944460 has 96 divisors (see below), whose sum is σ = 345085440. Its totient is φ = 43296768.

The previous prime is 134944361. The next prime is 134944531. The reversal of 134944460 is 64449431.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 134944460.

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 31 ways as a sum of consecutive naturals, for example, 257759 + ... + 258281.

It is an arithmetic number, because the mean of its divisors is an integer number (3594640).

Almost surely, 2134944460 is an apocalyptic number.

134944460 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 134944460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172542720).

134944460 is an abundant number, since it is smaller than the sum of its proper divisors (210140980).

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

134944460 is a wasteful number, since it uses less digits than its factorization.

134944460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 134944460 is about 11616.5597316934. The cubic root of 134944460 is about 512.9224246762.

The spelling of 134944460 in words is "one hundred thirty-four million, nine hundred forty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 97 133 140 190 194 266 380 388 485 523 532 665 679 970 1046 1330 1358 1843 1940 2092 2615 2660 2716 3395 3661 3686 5230 6790 7322 7372 9215 9937 10460 12901 13580 14644 18305 18430 19874 25802 36610 36860 39748 49685 50731 51604 64505 69559 73220 99370 101462 129010 139118 198740 202924 253655 258020 278236 347795 355117 507310 695590 710234 963889 1014620 1391180 1420468 1775585 1927778 3551170 3855556 4819445 6747223 7102340 9638890 13494446 19277780 26988892 33736115 67472230 134944460