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135886140 = 223351321489
BaseRepresentation
bin10000001100101…
…11010100111100
3100110200201202000
420012113110330
5234241324030
621252302300
73240004335
oct1006272474
9313621660
10135886140
116a7822a5
1239611990
13221c9a00
141409328c
15bde2860
hex819753c

135886140 has 144 divisors (see below), whose sum is σ = 458085600. Its totient is φ = 33426432.

The previous prime is 135886123. The next prime is 135886147. The reversal of 135886140 is 41688531.

135886140 is a `hidden beast` number, since 1 + 35 + 8 + 8 + 614 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 135886095 and 135886104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135886147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90516 + ... + 92004.

It is an arithmetic number, because the mean of its divisors is an integer number (3181150).

Almost surely, 2135886140 is an apocalyptic number.

135886140 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 135886140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229042800).

135886140 is an abundant number, since it is smaller than the sum of its proper divisors (322199460).

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

135886140 is a wasteful number, since it uses less digits than its factorization.

135886140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 135886140 is about 11657.0210602881. The cubic root of 135886140 is about 514.1127652582.

The spelling of 135886140 in words is "one hundred thirty-five million, eight hundred eighty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 169 180 195 234 260 270 338 351 390 468 507 540 585 676 702 780 845 1014 1170 1404 1489 1521 1690 1755 2028 2340 2535 2978 3042 3380 3510 4467 4563 5070 5956 6084 7020 7445 7605 8934 9126 10140 13401 14890 15210 17868 18252 19357 22335 22815 26802 29780 30420 38714 40203 44670 45630 53604 58071 67005 77428 80406 89340 91260 96785 116142 134010 160812 174213 193570 201015 232284 251641 268020 290355 348426 387140 402030 503282 522639 580710 696852 754923 804060 871065 1006564 1045278 1161420 1258205 1509846 1742130 2090556 2264769 2516410 2613195 3019692 3484260 3774615 4529538 5032820 5226390 6794307 7549230 9059076 10452780 11323845 13588614 15098460 22647690 27177228 33971535 45295380 67943070 135886140