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135124220 = 22571187743
BaseRepresentation
bin10000000110111…
…01010011111100
3100102021000120202
420003131103330
5234042433340
621224103032
73230352110
oct1003352374
9312230522
10135124220
116a301910
1239304a78
1321cc0c7a
1413d35740
15bce1c15
hex80dd4fc

135124220 has 48 divisors (see below), whose sum is σ = 353783808. Its totient is φ = 42116160.

The previous prime is 135124183. The next prime is 135124307. The reversal of 135124220 is 22421531.

135124220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 135124192 and 135124201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42332 + ... + 45411.

It is an arithmetic number, because the mean of its divisors is an integer number (7370496).

Almost surely, 2135124220 is an apocalyptic number.

135124220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135124220 is an abundant number, since it is smaller than the sum of its proper divisors (218659588).

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

135124220 is a wasteful number, since it uses less digits than its factorization.

135124220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87770 (or 87768 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 135124220 is about 11624.2943871876. The cubic root of 135124220 is about 513.1500788881.

Adding to 135124220 its reverse (22421531), we get a palindrome (157545751).

The spelling of 135124220 in words is "one hundred thirty-five million, one hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 87743 175486 350972 438715 614201 877430 965173 1228402 1754860 1930346 2456804 3071005 3860692 4825865 6142010 6756211 9651730 12284020 13512422 19303460 27024844 33781055 67562110 135124220