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134301440 = 2857131153
BaseRepresentation
bin10000000000101…
…00011100000000
3100100201012221102
420000110130000
5233340121230
621154313532
73220354250
oct1000243400
9310635842
10134301440
116989a729
1238b888a8
1321a93610
1413b9d960
15bbcd045
hex8014700

134301440 has 144 divisors (see below), whose sum is σ = 396274368. Its totient is φ = 42467328.

The previous prime is 134301437. The next prime is 134301449. The reversal of 134301440 is 44103431.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134301449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115904 + ... + 117056.

Almost surely, 2134301440 is an apocalyptic number.

134301440 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 134301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198137184).

134301440 is an abundant number, since it is smaller than the sum of its proper divisors (261972928).

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

134301440 is a wasteful number, since it uses less digits than its factorization.

134301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 134301440 is about 11588.8498135061. The cubic root of 134301440 is about 512.1064231901.

Adding to 134301440 its reverse (44103431), we get a palindrome (178404871).

The spelling of 134301440 in words is "one hundred thirty-four million, three hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 256 260 280 320 364 416 448 455 520 560 640 728 832 896 910 1040 1120 1153 1280 1456 1664 1792 1820 2080 2240 2306 2912 3328 3640 4160 4480 4612 5765 5824 7280 8071 8320 8960 9224 11530 11648 14560 14989 16142 16640 18448 23060 23296 29120 29978 32284 36896 40355 46120 58240 59956 64568 73792 74945 80710 92240 104923 116480 119912 129136 147584 149890 161420 184480 209846 239824 258272 295168 299780 322840 368960 419692 479648 516544 524615 599560 645680 737920 839384 959296 1033088 1049230 1199120 1291360 1475840 1678768 1918592 2066176 2098460 2398240 2582720 3357536 3837184 4196920 4796480 5165440 6715072 8393840 9592960 10330880 13430144 16787680 19185920 26860288 33575360 67150720 134301440