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135183168 = 263489293
BaseRepresentation
bin10000000111010…
…11101101000000
3100102101000110000
420003223231000
5234101330133
621225240000
73231016011
oct1003535500
9312330400
10135183168
116a34212a
1239333000
1322011a53
1413d4d008
15bd04413
hex80ebb40

135183168 has 140 divisors (see below), whose sum is σ = 406610820. Its totient is φ = 44402688.

The previous prime is 135183161. The next prime is 135183187. The reversal of 135183168 is 861381531.

It can be written as a sum of positive squares in 2 ways, for example, as 82301184 + 52881984 = 9072^2 + 7272^2 .

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (135183161) 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 19 ways as a sum of consecutive naturals, for example, 461230 + ... + 461522.

It is an arithmetic number, because the mean of its divisors is an integer number (2904363).

Almost surely, 2135183168 is an apocalyptic number.

135183168 is a gapful number since it is divisible by the number (18) 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 135183168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203305410).

135183168 is an abundant number, since it is smaller than the sum of its proper divisors (271427652).

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

135183168 is an equidigital number, since it uses as much as digits as its factorization.

135183168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 387 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 135183168 is about 11626.8296624660. The cubic root of 135183168 is about 513.2246886883.

The spelling of 135183168 in words is "one hundred thirty-five million, one hundred eighty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 89 96 108 144 162 178 192 216 267 288 293 324 356 432 534 576 586 648 712 801 864 879 1068 1172 1296 1424 1602 1728 1758 2136 2344 2403 2592 2637 2848 3204 3516 4272 4688 4806 5184 5274 5696 6408 7032 7209 7911 8544 9376 9612 10548 12816 14064 14418 15822 17088 18752 19224 21096 23733 25632 26077 28128 28836 31644 38448 42192 47466 51264 52154 56256 57672 63288 76896 78231 84384 94932 104308 115344 126576 153792 156462 168768 189864 208616 230688 234693 253152 312924 379728 417232 461376 469386 506304 625848 704079 759456 834464 938772 1251696 1408158 1518912 1668928 1877544 2112237 2503392 2816316 3755088 4224474 5006784 5632632 7510176 8448948 11265264 15020352 16897896 22530528 33795792 45061056 67591584 135183168