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134550680 = 23511597173
BaseRepresentation
bin10000000010100…
…01010010011000
3100101011212211112
420001101102120
5233421110210
621203515452
73222443015
oct1001212230
9311155745
10134550680
1169a4aa10
1239088b88
1321b4cbb4
1413c2670c
15bc2bd05
hex8051498

134550680 has 128 divisors (see below), whose sum is σ = 345254400. Its totient is φ = 46771200.

The previous prime is 134550679. The next prime is 134550683. The reversal of 134550680 is 86055431.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134550683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1843124 + ... + 1843196.

It is an arithmetic number, because the mean of its divisors is an integer number (2697300).

Almost surely, 2134550680 is an apocalyptic number.

134550680 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 134550680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172627200).

134550680 is an abundant number, since it is smaller than the sum of its proper divisors (210703720).

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

134550680 is a wasteful number, since it uses less digits than its factorization.

134550680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 134550680 is about 11599.5982689057. The cubic root of 134550680 is about 512.4230207601.

It can be divided in two parts, 1345 and 50680, that added together give a palindrome (52025).

The spelling of 134550680 in words is "one hundred thirty-four million, five hundred fifty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 59 71 73 88 110 118 142 146 220 236 284 292 295 355 365 440 472 568 584 590 649 710 730 781 803 1180 1298 1420 1460 1562 1606 2360 2596 2840 2920 3124 3212 3245 3905 4015 4189 4307 5183 5192 6248 6424 6490 7810 8030 8378 8614 10366 12980 15620 16060 16756 17228 20732 20945 21535 25915 25960 31240 32120 33512 34456 41464 41890 43070 46079 47377 51830 57013 83780 86140 92158 94754 103660 114026 167560 172280 184316 189508 207320 228052 230395 236885 285065 305797 368632 379016 456104 460790 473770 570130 611594 921580 947540 1140260 1223188 1528985 1843160 1895080 2280520 2446376 3057970 3363767 6115940 6727534 12231880 13455068 16818835 26910136 33637670 67275340 134550680