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133737065 = 57112231373
BaseRepresentation
bin1111111100010…
…10101001101001
3100022122112202122
413332022221221
5233214041230
621134241025
73212513660
oct776125151
9308575678
10133737065
1169544700
1238956175
1321926777
1413a93dd7
15bb1abe5
hex7f8aa69

133737065 has 48 divisors (see below), whose sum is σ = 210518784. Its totient is φ = 79685760.

The previous prime is 133737061. The next prime is 133737077. The reversal of 133737065 is 560737331.

It is not a de Polignac number, because 133737065 - 22 = 133737061 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (133737061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96719 + ... + 98091.

It is an arithmetic number, because the mean of its divisors is an integer number (4385808).

Almost surely, 2133737065 is an apocalyptic number.

It is an amenable number.

133737065 is a deficient number, since it is larger than the sum of its proper divisors (76781719).

133737065 is a wasteful number, since it uses less digits than its factorization.

133737065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 35.

The square root of 133737065 is about 11564.4742638825. The cubic root of 133737065 is about 511.3880743272.

The spelling of 133737065 in words is "one hundred thirty-three million, seven hundred thirty-seven thousand, sixty-five".

Divisors: 1 5 7 11 23 35 55 77 115 121 161 253 385 605 805 847 1265 1373 1771 2783 4235 6865 8855 9611 13915 15103 19481 31579 48055 75515 97405 105721 157895 166133 221053 347369 528605 830665 1105265 1162931 1736845 2431583 3821059 5814655 12157915 19105295 26747413 133737065