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135545220 = 22325898461
BaseRepresentation
bin10000001010001…
…00000110000100
3100110001102002100
420011010012010
5234144421340
621241112100
73234054366
oct1005040604
9313042070
10135545220
116a56a148
1239488630
132210a795
1414004d36
15bd76830
hex8144184

135545220 has 72 divisors (see below), whose sum is σ = 415822680. Its totient is φ = 35735040.

The previous prime is 135545209. The next prime is 135545231. The reversal of 135545220 is 22545531.

It is a happy number.

135545220 is a `hidden beast` number, since 135 + 5 + 4 + 522 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135545209) and next prime (135545231).

It can be written as a sum of positive squares in 4 ways, for example, as 15116544 + 120428676 = 3888^2 + 10974^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11790 + ... + 20250.

It is an arithmetic number, because the mean of its divisors is an integer number (5775315).

Almost surely, 2135545220 is an apocalyptic number.

135545220 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 135545220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207911340).

135545220 is an abundant number, since it is smaller than the sum of its proper divisors (280277460).

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

135545220 is a wasteful number, since it uses less digits than its factorization.

135545220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8565 (or 8560 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 135545220 is about 11642.3889301122. The cubic root of 135545220 is about 513.6824586649.

It can be divided in two parts, 13 and 5545220, that added together give a cube (5545233 = 1773).

The spelling of 135545220 in words is "one hundred thirty-five million, five hundred forty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 356 445 534 801 890 1068 1335 1602 1780 2670 3204 4005 5340 8010 8461 16020 16922 25383 33844 42305 50766 76149 84610 101532 126915 152298 169220 253830 304596 380745 507660 753029 761490 1506058 1522980 2259087 3012116 3765145 4518174 6777261 7530290 9036348 11295435 13554522 15060580 22590870 27109044 33886305 45181740 67772610 135545220