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135002529 = 3237405413
BaseRepresentation
bin10000000101111…
…11100110100001
3100102000211122200
420002333212201
5234030040104
621221323413
73226334244
oct1002774641
9312024580
10135002529
116a229442
1239266569
1321c7a76c
1413d0325b
15bcbab39
hex80bf9a1

135002529 has 12 divisors (see below), whose sum is σ = 200274516. Its totient is φ = 87568992.

The previous prime is 135002509. The next prime is 135002531. The reversal of 135002529 is 925200531.

135002529 is a `hidden beast` number, since 135 + 0 + 0 + 2 + 529 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60093504 + 74909025 = 7752^2 + 8655^2 .

It is not a de Polignac number, because 135002529 - 27 = 135002401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135002509) 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 11 ways as a sum of consecutive naturals, for example, 202374 + ... + 203039.

It is an arithmetic number, because the mean of its divisors is an integer number (16689543).

Almost surely, 2135002529 is an apocalyptic number.

It is an amenable number.

135002529 is a deficient number, since it is larger than the sum of its proper divisors (65271987).

135002529 is a wasteful number, since it uses less digits than its factorization.

135002529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405456 (or 405453 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 135002529 is about 11619.0588689446. The cubic root of 135002529 is about 512.9959873379.

It can be divided in two parts, 135002 and 529, that added together give a palindrome (135531).

The spelling of 135002529 in words is "one hundred thirty-five million, two thousand, five hundred twenty-nine".

Divisors: 1 3 9 37 111 333 405413 1216239 3648717 15000281 45000843 135002529