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135601650 = 23252541557
BaseRepresentation
bin10000001010100…
…01110111110010
3100110011021111100
420011101313302
5234203223100
621242225230
73234411042
oct1005216762
9313137440
10135601650
116a5a8588
12394b5216
132212a382
141401b722
15bd88400
hex8151df2

135601650 has 72 divisors (see below), whose sum is σ = 365645124. Its totient is φ = 36028800.

The previous prime is 135601649. The next prime is 135601667. The reversal of 135601650 is 56106531.

It is a happy number.

135601650 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 0 + 1 + 650 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 15896169 + 119705481 = 3987^2 + 10941^2 .

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 35 ways as a sum of consecutive naturals, for example, 243172 + ... + 243728.

Almost surely, 2135601650 is an apocalyptic number.

135601650 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 135601650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182822562).

135601650 is an abundant number, since it is smaller than the sum of its proper divisors (230043474).

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

135601650 is a wasteful number, since it uses less digits than its factorization.

135601650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 135601650 is about 11644.8121496227. The cubic root of 135601650 is about 513.7537339669.

The spelling of 135601650 in words is "one hundred thirty-five million, six hundred one thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 541 557 1082 1114 1623 1671 2705 2785 3246 3342 4869 5013 5410 5570 8115 8355 9738 10026 13525 13925 16230 16710 24345 25065 27050 27850 40575 41775 48690 50130 81150 83550 121725 125325 243450 250650 301337 602674 904011 1506685 1808022 2712033 3013370 4520055 5424066 7533425 9040110 13560165 15066850 22600275 27120330 45200550 67800825 135601650