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135066340 = 22529593947
BaseRepresentation
bin10000000110011…
…11001011100100
3100102011002012001
420003033023210
5234034110330
621222535044
73230021263
oct1003171344
9312132161
10135066340
116a272382
1239297484
1321ca0816
1413d1c5da
15bcce9ca
hex80cf2e4

135066340 has 48 divisors (see below), whose sum is σ = 298468800. Its totient is φ = 51266432.

The previous prime is 135066331. The next prime is 135066403. The reversal of 135066340 is 43660531.

It is a junction number, because it is equal to n+sod(n) for n = 135066299 and 135066308.

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, 32247 + ... + 36193.

It is an arithmetic number, because the mean of its divisors is an integer number (6218100).

Almost surely, 2135066340 is an apocalyptic number.

135066340 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 135066340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149234400).

135066340 is an abundant number, since it is smaller than the sum of its proper divisors (163402460).

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

135066340 is a wasteful number, since it uses less digits than its factorization.

135066340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4044 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 135066340 is about 11621.8045070462. The cubic root of 135066340 is about 513.0767997272.

The spelling of 135066340 in words is "one hundred thirty-five million, sixty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 59 116 118 145 236 290 295 580 590 1180 1711 3422 3947 6844 7894 8555 15788 17110 19735 34220 39470 78940 114463 228926 232873 457852 465746 572315 931492 1144630 1164365 2289260 2328730 4657460 6753317 13506634 27013268 33766585 67533170 135066340