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145135305 = 325739403
BaseRepresentation
bin10001010011010…
…01011011001001
3101010002122012200
420221221123021
5244123312210
622222430413
73411426000
oct1051513311
9333078180
10145135305
1174a1a337
1240732409
13240b78a3
14153bdc37
15cb1d0c0
hex8a696c9

145135305 has 48 divisors (see below), whose sum is σ = 293404800. Its totient is φ = 66340512.

The previous prime is 145135301. The next prime is 145135327. The reversal of 145135305 is 503531541.

It is not a de Polignac number, because 145135305 - 22 = 145135301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145135301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10734 + ... + 20136.

It is an arithmetic number, because the mean of its divisors is an integer number (6112600).

Almost surely, 2145135305 is an apocalyptic number.

145135305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145135305 is an abundant number, since it is smaller than the sum of its proper divisors (148269495).

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

145135305 is an equidigital number, since it uses as much as digits as its factorization.

145135305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9435 (or 9418 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 145135305 is about 12047.2115030824. The cubic root of 145135305 is about 525.5221471846.

Adding to 145135305 its reverse (503531541), we get a palindrome (648666846).

The spelling of 145135305 in words is "one hundred forty-five million, one hundred thirty-five thousand, three hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 343 441 735 1029 1715 2205 3087 5145 9403 15435 28209 47015 65821 84627 141045 197463 329105 423135 460747 592389 987315 1382241 2303735 2961945 3225229 4146723 6911205 9675687 16126145 20733615 29027061 48378435 145135305