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135847000 = 23531761131
BaseRepresentation
bin10000001100011…
…01110001011000
3100110121202001101
420012031301120
5234234101000
621251401144
73236452252
oct1006156130
9313552041
10135847000
116a755953
12395b31b4
13221b4c53
1414082cd2
15bdd5e6a
hex818dc58

135847000 has 128 divisors (see below), whose sum is σ = 344710080. Its totient is φ = 49920000.

The previous prime is 135846961. The next prime is 135847007. The reversal of 135847000 is 748531.

It is a self number, because there is not a number n which added to its sum of digits gives 135847000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135847007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1036935 + ... + 1037065.

Almost surely, 2135847000 is an apocalyptic number.

135847000 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 135847000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172355040).

135847000 is an abundant number, since it is smaller than the sum of its proper divisors (208863080).

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

135847000 is a wasteful number, since it uses less digits than its factorization.

135847000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 135847000 is about 11655.3421228208. The cubic root of 135847000 is about 514.0633996498.

The spelling of 135847000 in words is "one hundred thirty-five million, eight hundred forty-seven thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 61 68 85 100 122 125 131 136 170 200 244 250 262 305 340 425 488 500 524 610 655 680 850 1000 1037 1048 1220 1310 1525 1700 2074 2125 2227 2440 2620 3050 3275 3400 4148 4250 4454 5185 5240 6100 6550 7625 7991 8296 8500 8908 10370 11135 12200 13100 15250 15982 16375 17000 17816 20740 22270 25925 26200 30500 31964 32750 39955 41480 44540 51850 55675 61000 63928 65500 79910 89080 103700 111350 129625 131000 135847 159820 199775 207400 222700 259250 271694 278375 319640 399550 445400 518500 543388 556750 679235 799100 998875 1037000 1086776 1113500 1358470 1598200 1997750 2227000 2716940 3396175 3995500 5433880 6792350 7991000 13584700 16980875 27169400 33961750 67923500 135847000