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134318140 = 225112937569
BaseRepresentation
bin10000000000110…
…00100000111100
3100100202001211221
420000120200330
5233341140030
621154523124
73220454035
oct1000304074
9310661757
10134318140
1169901230
1238b964a4
1321a9b0b8
1413ba5a8c
15bbd2e7a
hex801883c

134318140 has 96 divisors (see below), whose sum is σ = 327499200. Its totient is φ = 45803520.

The previous prime is 134318123. The next prime is 134318147. The reversal of 134318140 is 41813431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134318147) 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, 235776 + ... + 236344.

It is an arithmetic number, because the mean of its divisors is an integer number (3411450).

Almost surely, 2134318140 is an apocalyptic number.

134318140 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 134318140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163749600).

134318140 is an abundant number, since it is smaller than the sum of its proper divisors (193181060).

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

134318140 is a wasteful number, since it uses less digits than its factorization.

134318140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 134318140 is about 11589.5703112756. The cubic root of 134318140 is about 512.1276486334.

The spelling of 134318140 in words is "one hundred thirty-four million, three hundred eighteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 37 44 55 58 74 110 116 145 148 185 220 290 319 370 407 569 580 638 740 814 1073 1138 1276 1595 1628 2035 2146 2276 2845 3190 4070 4292 5365 5690 6259 6380 8140 10730 11380 11803 12518 16501 21053 21460 23606 25036 31295 33002 42106 47212 59015 62590 66004 82505 84212 105265 118030 125180 165010 181511 210530 231583 236060 330020 363022 421060 463166 610537 726044 907555 926332 1157915 1221074 1815110 2315830 2442148 3052685 3630220 4631660 6105370 6715907 12210740 13431814 26863628 33579535 67159070 134318140