Search a number
-
+
135146301300 = 223252150162557
BaseRepresentation
bin111110111011101011…
…0001110011101110100
3110220211120121102211200
41331313112032131310
54203234423120200
6142030234132500
712523023415143
oct1756726163564
9426746542750
10135146301300
11523516224aa
1222238281130
13c98a13892a
146780b7175a
1537aea68800
hex1f7758e774

135146301300 has 54 divisors (see below), whose sum is σ = 423608576118. Its totient is φ = 36039013440.

The previous prime is 135146301287. The next prime is 135146301331. The reversal of 135146301300 is 3103641531.

135146301300 is a `hidden beast` number, since 1 + 3 + 5 + 14 + 630 + 13 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3773399184 + 131372902116 = 61428^2 + 362454^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 75080379 + ... + 75082178.

Almost surely, 2135146301300 is an apocalyptic number.

135146301300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135146301300 is an abundant number, since it is smaller than the sum of its proper divisors (288462274818).

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

135146301300 is a wasteful number, since it uses less digits than its factorization.

135146301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150162577 (or 150162567 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 135146301300 its reverse (3103641531), we get a palindrome (138249942831).

The spelling of 135146301300 in words is "one hundred thirty-five billion, one hundred forty-six million, three hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 150162557 300325114 450487671 600650228 750812785 900975342 1351463013 1501625570 1801950684 2252438355 2702926026 3003251140 3754063925 4504876710 5405852052 6757315065 7508127850 9009753420 11262191775 13514630130 15016255700 22524383550 27029260260 33786575325 45048767100 67573150650 135146301300