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134605200 = 24352234877
BaseRepresentation
bin10000000010111…
…10100110010000
3100101021122121210
420001132212100
5233424331300
621205020120
73223060662
oct1001364620
9311248553
10134605200
1169a87974
12390b4640
1321b6b962
1413c3c532
15bc3d050
hex805e990

134605200 has 120 divisors (see below), whose sum is σ = 450024768. Its totient is φ = 34327040.

The previous prime is 134605189. The next prime is 134605231. The reversal of 134605200 is 2506431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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, 25162 + ... + 30038.

Almost surely, 2134605200 is an apocalyptic number.

134605200 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 134605200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225012384).

134605200 is an abundant number, since it is smaller than the sum of its proper divisors (315419568).

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

134605200 is a wasteful number, since it uses less digits than its factorization.

134605200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4921 (or 4910 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 134605200 is about 11601.9481122784. The cubic root of 134605200 is about 512.4922227652.

The spelling of 134605200 in words is "one hundred thirty-four million, six hundred five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 138 150 184 200 230 240 276 300 345 368 400 460 552 575 600 690 920 1104 1150 1200 1380 1725 1840 2300 2760 3450 4600 4877 5520 6900 9200 9754 13800 14631 19508 24385 27600 29262 39016 48770 58524 73155 78032 97540 112171 117048 121925 146310 195080 224342 234096 243850 292620 336513 365775 390160 448684 487700 560855 585240 673026 731550 897368 975400 1121710 1170480 1346052 1463100 1682565 1794736 1950800 2243420 2692104 2804275 2926200 3365130 4486840 5384208 5608550 5852400 6730260 8412825 8973680 11217100 13460520 16825650 22434200 26921040 33651300 44868400 67302600 134605200