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135160220 = 225131015147
BaseRepresentation
bin10000000111001…
…10000110011100
3100102022211222002
420003212012130
5234100111340
621224541432
73230562056
oct1003460634
9312284862
10135160220
116a326968
1239321878
1322004480
1413d448d6
15bcec715
hex80e619c

135160220 has 48 divisors (see below), whose sum is σ = 308756448. Its totient is φ = 49401600.

The previous prime is 135160219. The next prime is 135160247. The reversal of 135160220 is 22061531.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 135160192 and 135160201.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23687 + ... + 28833.

It is an arithmetic number, because the mean of its divisors is an integer number (6432426).

Almost surely, 2135160220 is an apocalyptic number.

135160220 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 135160220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154378224).

135160220 is an abundant number, since it is smaller than the sum of its proper divisors (173596228).

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

135160220 is a wasteful number, since it uses less digits than its factorization.

135160220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5270 (or 5268 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 135160220 is about 11625.8427651504. The cubic root of 135160220 is about 513.1956462495.

The spelling of 135160220 in words is "one hundred thirty-five million, one hundred sixty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 505 1010 1313 2020 2626 5147 5252 6565 10294 13130 20588 25735 26260 51470 66911 102940 133822 267644 334555 519847 669110 1039694 1338220 2079388 2599235 5198470 6758011 10396940 13516022 27032044 33790055 67580110 135160220