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135175770 = 23354112211
BaseRepresentation
bin10000000111010…
…01111001011010
3100102100122022000
420003221321122
5234101111040
621225141430
73230655312
oct1003517132
9312318260
10135175770
116a337614
123932a876
132200b582
1413d4a442
15bd02130
hex80e9e5a

135175770 has 64 divisors (see below), whose sum is σ = 369290880. Its totient is φ = 35164800.

The previous prime is 135175759. The next prime is 135175801. The reversal of 135175770 is 77571531.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4965 + ... + 17175.

It is an arithmetic number, because the mean of its divisors is an integer number (5770170).

Almost surely, 2135175770 is an apocalyptic number.

135175770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135175770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184645440).

135175770 is an abundant number, since it is smaller than the sum of its proper divisors (234115110).

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

135175770 is a wasteful number, since it uses less digits than its factorization.

135175770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12268 (or 12262 counting only the distinct ones).

The product of its (nonzero) digits is 25725, while the sum is 36.

The square root of 135175770 is about 11626.5115146376. The cubic root of 135175770 is about 513.2153263158.

The spelling of 135175770 in words is "one hundred thirty-five million, one hundred seventy-five thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 205 246 270 369 410 615 738 1107 1230 1845 2214 3690 5535 11070 12211 24422 36633 61055 73266 109899 122110 183165 219798 329697 366330 500651 549495 659394 1001302 1098990 1501953 1648485 2503255 3003906 3296970 4505859 5006510 7509765 9011718 13517577 15019530 22529295 27035154 45058590 67587885 135175770