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134751960 = 23325727639
BaseRepresentation
bin10000000100000…
…10011011011000
3100101120002221100
420002002123120
5233444030320
621212111400
73224241600
oct1002023330
9311502840
10134751960
116a078162
1239165560
1321bc06b5
1413c79c00
15bc6b790
hex80826d8

134751960 has 144 divisors (see below), whose sum is σ = 509511600. Its totient is φ = 30796416.

The previous prime is 134751931. The next prime is 134751973. The reversal of 134751960 is 69157431.

134751960 is a `hidden beast` number, since 134 + 7 + 519 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13821 + ... + 21459.

It is an arithmetic number, because the mean of its divisors is an integer number (3538275).

Almost surely, 2134751960 is an apocalyptic number.

134751960 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 134751960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254755800).

134751960 is an abundant number, since it is smaller than the sum of its proper divisors (374759640).

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

134751960 is a wasteful number, since it uses less digits than its factorization.

134751960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7670 (or 7656 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 134751960 is about 11608.2711891134. The cubic root of 134751960 is about 512.6784118082.

The spelling of 134751960 in words is "one hundred thirty-four million, seven hundred fifty-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 7639 8820 15278 17640 22917 30556 38195 45834 53473 61112 68751 76390 91668 106946 114585 137502 152780 160419 183336 213892 229170 267365 275004 305560 320838 343755 374311 427784 458340 481257 534730 550008 641676 687510 748622 802095 916680 962514 1069460 1122933 1283352 1375020 1497244 1604190 1871555 1925028 2138920 2245866 2406285 2750040 2994488 3208380 3368799 3743110 3850056 4491732 4812570 5614665 6416760 6737598 7486220 8983464 9625140 11229330 13475196 14972440 16843995 19250280 22458660 26950392 33687990 44917320 67375980 134751960