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135264141 = 335009783
BaseRepresentation
bin10000000111111…
…11011110001101
3100102112010112000
420003333132031
5234111423031
621231102513
73231504045
oct1003773615
9312463460
10135264141
116a397a51
1239371a39
132203c86c
1413d70725
15bd1d3e6
hex80ff78d

135264141 has 8 divisors (see below), whose sum is σ = 200391360. Its totient is φ = 90176076.

The previous prime is 135264133. The next prime is 135264161. The reversal of 135264141 is 141462531.

It is a happy number.

135264141 is a `hidden beast` number, since 13 + 5 + 2 + 641 + 4 + 1 = 666.

It is not a de Polignac number, because 135264141 - 23 = 135264133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 5009783 = 135264141 / (1 + 3 + 5 + 2 + 6 + 4 + 1 + 4 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135264131) 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, 2504865 + ... + 2504918.

It is an arithmetic number, because the mean of its divisors is an integer number (25048920).

Almost surely, 2135264141 is an apocalyptic number.

It is an amenable number.

135264141 is a deficient number, since it is larger than the sum of its proper divisors (65127219).

135264141 is an equidigital number, since it uses as much as digits as its factorization.

135264141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5009792 (or 5009786 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 135264141 is about 11630.3113027984. The cubic root of 135264141 is about 513.3271399245.

The spelling of 135264141 in words is "one hundred thirty-five million, two hundred sixty-four thousand, one hundred forty-one".

Divisors: 1 3 9 27 5009783 15029349 45088047 135264141