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135603666 = 233111671367
BaseRepresentation
bin10000001010100…
…10010111010010
3100110011101021000
420011102113102
5234203304131
621242242430
73234416652
oct1005222722
9313141230
10135603666
116a5aa050
12394b6416
132212b273
141401c362
15bd88ce6
hex81525d2

135603666 has 64 divisors (see below), whose sum is σ = 330946560. Its totient is φ = 40816080.

The previous prime is 135603661. The next prime is 135603667. The reversal of 135603666 is 666306531.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 135603666.

It is not an unprimeable number, because it can be changed into a prime (135603661) 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, 98515 + ... + 99881.

It is an arithmetic number, because the mean of its divisors is an integer number (5171040).

Almost surely, 2135603666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135603666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

135603666 is an abundant number, since it is smaller than the sum of its proper divisors (195342894).

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

135603666 is a wasteful number, since it uses less digits than its factorization.

135603666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 135603666 is about 11644.8987114530. The cubic root of 135603666 is about 513.7562799595.

The spelling of 135603666 in words is "one hundred thirty-five million, six hundred three thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 167 198 297 334 501 594 1002 1367 1503 1837 2734 3006 3674 4101 4509 5511 8202 9018 11022 12303 15037 16533 24606 30074 33066 36909 45111 49599 73818 90222 99198 135333 228289 270666 405999 456578 684867 811998 1369734 2054601 2511179 4109202 5022358 6163803 7533537 12327606 15067074 22600611 45201222 67801833 135603666