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133125642 = 23213568913
BaseRepresentation
bin1111110111101…
…01011000001010
3100021111111001100
413323311120022
5233040010032
621113202230
73204356256
oct773653012
9307444040
10133125642
11691672a1
1238700376
1321771390
1413975266
15ba4997c
hex7ef560a

133125642 has 24 divisors (see below), whose sum is σ = 310627044. Its totient is φ = 40961664.

The previous prime is 133125637. The next prime is 133125649. The reversal of 133125642 is 246521331.

133125642 is a `hidden beast` number, since 1 + 3 + 3 + 12 + 5 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 132503121 + 622521 = 11511^2 + 789^2 .

It is not an unprimeable number, because it can be changed into a prime (133125649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284223 + ... + 284690.

Almost surely, 2133125642 is an apocalyptic number.

133125642 is an abundant number, since it is smaller than the sum of its proper divisors (177501402).

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

133125642 is a wasteful number, since it uses less digits than its factorization.

133125642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568934 (or 568931 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 133125642 is about 11538.0085803400. The cubic root of 133125642 is about 510.6075573664.

Adding to 133125642 its reverse (246521331), we get a palindrome (379646973).

The spelling of 133125642 in words is "one hundred thirty-three million, one hundred twenty-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 568913 1137826 1706739 3413478 5120217 7395869 10240434 14791738 22187607 44375214 66562821 133125642