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135181137 = 37133471427
BaseRepresentation
bin10000000111010…
…11001101010001
3100102100220122210
420003223031101
5234101244022
621225222333
73231010050
oct1003531521
9312326583
10135181137
116a340653
12393319a9
1322010b50
1413d4c397
15bd03a0c
hex80eb351

135181137 has 32 divisors (see below), whose sum is σ = 222630912. Its totient is φ = 71049024.

The previous prime is 135181133. The next prime is 135181139. The reversal of 135181137 is 731181531.

It is not a de Polignac number, because 135181137 - 22 = 135181133 is a prime.

It is a super-2 number, since 2×1351811372 = 36547879601225538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135181133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94018 + ... + 95444.

It is an arithmetic number, because the mean of its divisors is an integer number (6957216).

Almost surely, 2135181137 is an apocalyptic number.

It is an amenable number.

135181137 is a deficient number, since it is larger than the sum of its proper divisors (87449775).

135181137 is a wasteful number, since it uses less digits than its factorization.

135181137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797.

The product of its digits is 2520, while the sum is 30.

The square root of 135181137 is about 11626.7423210459. The cubic root of 135181137 is about 513.2221184360. Note that the first 3 decimals are identical.

The spelling of 135181137 in words is "one hundred thirty-five million, one hundred eighty-one thousand, one hundred thirty-seven".

Divisors: 1 3 7 13 21 39 91 273 347 1041 1427 2429 4281 4511 7287 9989 13533 18551 29967 31577 55653 94731 129857 389571 495169 1485507 3466183 6437197 10398549 19311591 45060379 135181137