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134479520 = 25572171009
BaseRepresentation
bin10000000001111…
…11111010100000
3100101001021012222
420000333322200
5233411321040
621202210212
73222025400
oct1000777240
9311037188
10134479520
1169a014aa
1239053968
1321b266a6
1413c08800
15bc15bb5
hex803fea0

134479520 has 144 divisors (see below), whose sum is σ = 391706280. Its totient is φ = 43352064.

The previous prime is 134479493. The next prime is 134479547. The reversal of 134479520 is 25974431.

It is an interprime number because it is at equal distance from previous prime (134479493) and next prime (134479547).

It can be written as a sum of positive squares in 4 ways, for example, as 112614544 + 21864976 = 10612^2 + 4676^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132776 + ... + 133784.

Almost surely, 2134479520 is an apocalyptic number.

134479520 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 134479520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195853140).

134479520 is an abundant number, since it is smaller than the sum of its proper divisors (257226760).

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

134479520 is a wasteful number, since it uses less digits than its factorization.

134479520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 134479520 is about 11596.5305156327. The cubic root of 134479520 is about 512.3326695449.

The spelling of 134479520 in words is "one hundred thirty-four million, four hundred seventy-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 49 56 68 70 80 85 98 112 119 136 140 160 170 196 224 238 245 272 280 340 392 476 490 544 560 595 680 784 833 952 980 1009 1120 1190 1360 1568 1666 1904 1960 2018 2380 2720 3332 3808 3920 4036 4165 4760 5045 6664 7063 7840 8072 8330 9520 10090 13328 14126 16144 16660 17153 19040 20180 26656 28252 32288 33320 34306 35315 40360 49441 56504 66640 68612 70630 80720 85765 98882 113008 120071 133280 137224 141260 161440 171530 197764 226016 240142 247205 274448 282520 343060 395528 480284 494410 548896 565040 600355 686120 791056 840497 960568 988820 1130080 1200710 1372240 1582112 1680994 1921136 1977640 2401420 2744480 3361988 3842272 3955280 4202485 4802840 6723976 7910560 8404970 9605680 13447952 16809940 19211360 26895904 33619880 67239760 134479520