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135037089 = 32112124001
BaseRepresentation
bin10000000110010…
…00000010100001
3100102002121001200
420003020002201
5234032141324
621222151413
73226540065
oct1003100241
9312077050
10135037089
116a252400
1239282569
1321c90405
1413d11aa5
15bcc5ec9
hex80c80a1

135037089 has 18 divisors (see below), whose sum is σ = 214399458. Its totient is φ = 81840000.

The previous prime is 135037081. The next prime is 135037109. The reversal of 135037089 is 980730531.

135037089 is a `hidden beast` number, since 1 + 3 + 503 + 70 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101304225 + 33732864 = 10065^2 + 5808^2 .

It is not a de Polignac number, because 135037089 - 23 = 135037081 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135037081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 60912 + ... + 63089.

It is an arithmetic number, because the mean of its divisors is an integer number (11911081).

Almost surely, 2135037089 is an apocalyptic number.

It is an amenable number.

135037089 is a deficient number, since it is larger than the sum of its proper divisors (79362369).

135037089 is a wasteful number, since it uses less digits than its factorization.

135037089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124029 (or 124015 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 135037089 is about 11620.5459854518. The cubic root of 135037089 is about 513.0397584406.

The spelling of 135037089 in words is "one hundred thirty-five million, thirty-seven thousand, eighty-nine".

Divisors: 1 3 9 11 33 99 121 363 1089 124001 372003 1116009 1364011 4092033 12276099 15004121 45012363 135037089