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135146020 = 22525726293
BaseRepresentation
bin10000000111000…
…10101000100100
3100102022010111011
420003202220210
5234044133040
621224352004
73230502502
oct1003425044
9312263434
10135146020
116a317229
1239315604
1321ccab79
1413d3d672
15bce83ea
hex80e2a24

135146020 has 24 divisors (see below), whose sum is σ = 284921784. Its totient is φ = 53846016.

The previous prime is 135145987. The next prime is 135146021. The reversal of 135146020 is 20641531.

It can be written as a sum of positive squares in 4 ways, for example, as 95883264 + 39262756 = 9792^2 + 6266^2 .

It is a junction number, because it is equal to n+sod(n) for n = 135145982 and 135146000.

It is not an unprimeable number, because it can be changed into a prime (135146021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8007 + ... + 18286.

It is an arithmetic number, because the mean of its divisors is an integer number (11871741).

Almost surely, 2135146020 is an apocalyptic number.

135146020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135146020 is an abundant number, since it is smaller than the sum of its proper divisors (149775764).

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

135146020 is a wasteful number, since it uses less digits than its factorization.

135146020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26559 (or 26557 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 135146020 is about 11625.2320406949. The cubic root of 135146020 is about 513.1776734234.

Adding to 135146020 its reverse (20641531), we get a palindrome (155787551).

The spelling of 135146020 in words is "one hundred thirty-five million, one hundred forty-six thousand, twenty".

Divisors: 1 2 4 5 10 20 257 514 1028 1285 2570 5140 26293 52586 105172 131465 262930 525860 6757301 13514602 27029204 33786505 67573010 135146020