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135115020 = 22335534721
BaseRepresentation
bin10000000110110…
…11000100001100
3100102020112222000
420003123010030
5234042140040
621223552300
73230313225
oct1003330414
9312215860
10135115020
116a2a5a07
12392bb690
1321cb9a21
1413d3224c
15bcde130
hex80db10c

135115020 has 96 divisors (see below), whose sum is σ = 428379840. Its totient is φ = 35343360.

The previous prime is 135115003. The next prime is 135115021. The reversal of 135115020 is 20511531.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 135114984 and 135115002.

It is not an unprimeable number, because it can be changed into a prime (135115021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26260 + ... + 30980.

It is an arithmetic number, because the mean of its divisors is an integer number (4462290).

Almost surely, 2135115020 is an apocalyptic number.

135115020 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 135115020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214189920).

135115020 is an abundant number, since it is smaller than the sum of its proper divisors (293264820).

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

135115020 is a wasteful number, since it uses less digits than its factorization.

135115020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4792 (or 4784 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 135115020 is about 11623.8986575073. The cubic root of 135115020 is about 513.1384325973.

Adding to 135115020 its reverse (20511531), we get a palindrome (155626551).

The spelling of 135115020 in words is "one hundred thirty-five million, one hundred fifteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 90 106 108 135 159 180 212 265 270 318 477 530 540 636 795 954 1060 1431 1590 1908 2385 2862 3180 4721 4770 5724 7155 9442 9540 14163 14310 18884 23605 28326 28620 42489 47210 56652 70815 84978 94420 127467 141630 169956 212445 250213 254934 283260 424890 500426 509868 637335 750639 849780 1000852 1251065 1274670 1501278 2251917 2502130 2549340 3002556 3753195 4503834 5004260 6755751 7506390 9007668 11259585 13511502 15012780 22519170 27023004 33778755 45038340 67557510 135115020