Search a number
-
+
134634150 = 2355271583
BaseRepresentation
bin10000000011001…
…01101010100110
3100101100010100000
420001211222212
5233431243100
621205402130
73223241250
oct1001455246
9311303300
10134634150
1169aa76a2
1239109346
1321b7bba1
1413c48cd0
15bc46900
hex8065aa6

134634150 has 144 divisors (see below), whose sum is σ = 428972544. Its totient is φ = 30754080.

The previous prime is 134634121. The next prime is 134634163. The reversal of 134634150 is 51436431.

134634150 is a `hidden beast` number, since 13 + 4 + 634 + 15 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 84259 + ... + 85841.

It is an arithmetic number, because the mean of its divisors is an integer number (2978976).

Almost surely, 2134634150 is an apocalyptic number.

134634150 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 134634150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214486272).

134634150 is an abundant number, since it is smaller than the sum of its proper divisors (294338394).

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

134634150 is a wasteful number, since it uses less digits than its factorization.

134634150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 134634150 is about 11603.1956805011. The cubic root of 134634150 is about 512.5289612823.

The spelling of 134634150 in words is "one hundred thirty-four million, six hundred thirty-four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 81 90 105 126 135 150 162 175 189 210 225 243 270 315 350 378 405 450 486 525 567 630 675 810 945 1050 1134 1215 1350 1575 1583 1701 1890 2025 2430 2835 3150 3166 3402 4050 4725 4749 5670 6075 7915 8505 9450 9498 11081 12150 14175 14247 15830 17010 22162 23745 28350 28494 33243 39575 42525 42741 47490 55405 66486 71235 79150 85050 85482 99729 110810 118725 128223 142470 166215 199458 213705 237450 256446 277025 299187 332430 356175 384669 427410 498645 554050 598374 641115 712350 769338 831075 897561 997290 1068525 1282230 1495935 1662150 1795122 1923345 2137050 2493225 2692683 2991870 3205575 3846690 4487805 4986450 5385366 6411150 7479675 8975610 9616725 13463415 14959350 19233450 22439025 26926830 44878050 67317075 134634150