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135555660 = 22335373673
BaseRepresentation
bin10000001010001…
…10101001001100
3100110001221102000
420011012221030
5234200240120
621241232300
73234130002
oct1005065114
9313057360
10135555660
116a576a79
1239492690
1322112466
1414008a72
15bd79990
hex8146a4c

135555660 has 96 divisors (see below), whose sum is σ = 423487680. Its totient is φ = 35997696.

The previous prime is 135555647. The next prime is 135555677. The reversal of 135555660 is 66555531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201084 + ... + 201756.

It is an arithmetic number, because the mean of its divisors is an integer number (4411330).

Almost surely, 2135555660 is an apocalyptic number.

135555660 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 135555660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211743840).

135555660 is an abundant number, since it is smaller than the sum of its proper divisors (287932020).

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

135555660 is a wasteful number, since it uses less digits than its factorization.

135555660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The square root of 135555660 is about 11642.8372830681. The cubic root of 135555660 is about 513.6956466553.

The spelling of 135555660 in words is "one hundred thirty-five million, five hundred fifty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 373 540 673 746 1119 1346 1492 1865 2019 2238 2692 3357 3365 3730 4038 4476 5595 6057 6714 6730 7460 8076 10071 10095 11190 12114 13428 13460 16785 18171 20142 20190 22380 24228 30285 33570 36342 40284 40380 50355 60570 67140 72684 90855 100710 121140 181710 201420 251029 363420 502058 753087 1004116 1255145 1506174 2259261 2510290 3012348 3765435 4518522 5020580 6777783 7530870 9037044 11296305 13555566 15061740 22592610 27111132 33888915 45185220 67777830 135555660