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135141500 = 225313171223
BaseRepresentation
bin10000000111000…
…01100001111100
3100102021220021202
420003201201330
5234044012000
621224315032
73230453354
oct1003414174
9312256252
10135141500
116a31389a
1239312a78
1321cc8ab0
1413d3bb64
15bce6dd5
hex80e187c

135141500 has 96 divisors (see below), whose sum is σ = 336825216. Its totient is φ = 46924800.

The previous prime is 135141481. The next prime is 135141521. The reversal of 135141500 is 5141531.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 109889 + ... + 111111.

It is an arithmetic number, because the mean of its divisors is an integer number (3508596).

Almost surely, 2135141500 is an apocalyptic number.

135141500 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 135141500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168412608).

135141500 is an abundant number, since it is smaller than the sum of its proper divisors (201683716).

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

135141500 is a wasteful number, since it uses less digits than its factorization.

135141500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 135141500 is about 11625.0376343477. The cubic root of 135141500 is about 513.1719522315.

The spelling of 135141500 in words is "one hundred thirty-five million, one hundred forty-one thousand, five hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 125 130 170 221 250 260 325 340 425 442 500 650 850 884 1105 1223 1300 1625 1700 2125 2210 2446 3250 4250 4420 4892 5525 6115 6500 8500 11050 12230 15899 20791 22100 24460 27625 30575 31798 41582 55250 61150 63596 79495 83164 103955 110500 122300 152875 158990 207910 270283 305750 317980 397475 415820 519775 540566 611500 794950 1039550 1081132 1351415 1589900 1987375 2079100 2598875 2702830 3974750 5197750 5405660 6757075 7949500 10395500 13514150 27028300 33785375 67570750 135141500