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135187129 = 721121512
BaseRepresentation
bin10000000111011…
…00101010111001
3100102101012212201
420003230222321
5234101442004
621225310201
73231033400
oct1003545271
9312335781
10135187129
116a345100
1239335361
13220137ac
1413d50637
15bd056a4
hex80ecab9

135187129 has 27 divisors (see below), whose sum is σ = 174006693. Its totient is φ = 104643000.

The previous prime is 135187081. The next prime is 135187139. The reversal of 135187129 is 921781531.

The square root of 135187129 is 11627.

It is a perfect power (a square), and thus also a powerful number.

It is a de Polignac number, because none of the positive numbers 2k-135187129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135187139) 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 26 ways as a sum of consecutive naturals, for example, 895204 + ... + 895354.

Almost surely, 2135187129 is an apocalyptic number.

135187129 is the 11627-th square number.

135187129 is the 5814-th centered octagonal number.

It is an amenable number.

135187129 is a deficient number, since it is larger than the sum of its proper divisors (38819564).

135187129 is an equidigital number, since it uses as much as digits as its factorization.

135187129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 169 counting only the distinct ones).

The product of its digits is 15120, while the sum is 37.

The cubic root of 135187129 is about 513.2297013023.

The spelling of 135187129 in words is "one hundred thirty-five million, one hundred eighty-seven thousand, one hundred twenty-nine".

Divisors: 1 7 11 49 77 121 151 539 847 1057 1661 5929 7399 11627 18271 22801 81389 127897 159607 250811 895279 1117249 1755677 2758921 12289739 19312447 135187129