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135201141 = 3215022349
BaseRepresentation
bin10000000111100…
…00000101110101
3100102101221002200
420003300011311
5234102414031
621225455113
73231122265
oct1003600565
9312357080
10135201141
116a354689
1239341499
1322019c9a
1413d557a5
15bd098e6
hex80f0175

135201141 has 6 divisors (see below), whose sum is σ = 195290550. Its totient is φ = 90134088.

The previous prime is 135201133. The next prime is 135201151. The reversal of 135201141 is 141102531.

135201141 is a `hidden beast` number, since 1 + 3 + 520 + 1 + 141 = 666.

It can be written as a sum of positive squares in only one way, i.e., 135140625 + 60516 = 11625^2 + 246^2 .

It is not a de Polignac number, because 135201141 - 23 = 135201133 is a prime.

It is a super-3 number, since 3×1352011413 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135201151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7511166 + ... + 7511183.

It is an arithmetic number, because the mean of its divisors is an integer number (32548425).

Almost surely, 2135201141 is an apocalyptic number.

It is an amenable number.

135201141 is a deficient number, since it is larger than the sum of its proper divisors (60089409).

135201141 is a wasteful number, since it uses less digits than its factorization.

135201141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15022355 (or 15022352 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 135201141 is about 11627.6025473870. The cubic root of 135201141 is about 513.2474325913.

Adding to 135201141 its reverse (141102531), we get a palindrome (276303672).

The spelling of 135201141 in words is "one hundred thirty-five million, two hundred one thousand, one hundred forty-one".

Divisors: 1 3 9 15022349 45067047 135201141