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132277136 = 2417486313
BaseRepresentation
bin1111110001001…
…10001110010000
3100012220101010012
413320212032100
5232330332021
621043054052
73164223425
oct770461620
9305811105
10132277136
1168737852
1238371328
13215350c4
14137d3d4c
15b92d35b
hex7e26390

132277136 has 20 divisors (see below), whose sum is σ = 271363212. Its totient is φ = 62247936.

The previous prime is 132277127. The next prime is 132277169. The reversal of 132277136 is 631772231.

It can be written as a sum of positive squares in 2 ways, for example, as 40960000 + 91317136 = 6400^2 + 9556^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 242885 + ... + 243428.

Almost surely, 2132277136 is an apocalyptic number.

132277136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132277136 is an abundant number, since it is smaller than the sum of its proper divisors (139086076).

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

132277136 is a wasteful number, since it uses less digits than its factorization.

132277136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486338 (or 486332 counting only the distinct ones).

The product of its digits is 10584, while the sum is 32.

The square root of 132277136 is about 11501.1797655719. The cubic root of 132277136 is about 509.5204206278.

The spelling of 132277136 in words is "one hundred thirty-two million, two hundred seventy-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 486313 972626 1945252 3890504 7781008 8267321 16534642 33069284 66138568 132277136