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137046117 = 31343711151
BaseRepresentation
bin10000010101100…
…10100001100101
3100112212122221010
420022302201211
5240040433432
621333212433
73252605235
oct1012624145
9315778833
10137046117
11703a485a
1239a91119
13225149a0
14142b5cc5
15c0713cc
hex82b2865

137046117 has 32 divisors (see below), whose sum is σ = 204374016. Its totient is φ = 81144000.

The previous prime is 137046109. The next prime is 137046127. The reversal of 137046117 is 711640731.

It is not a de Polignac number, because 137046117 - 23 = 137046109 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137046127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118492 + ... + 119642.

It is an arithmetic number, because the mean of its divisors is an integer number (6386688).

Almost surely, 2137046117 is an apocalyptic number.

It is an amenable number.

137046117 is a deficient number, since it is larger than the sum of its proper divisors (67327899).

137046117 is a wasteful number, since it uses less digits than its factorization.

137046117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281.

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 137046117 is about 11706.6697655653. The cubic root of 137046117 is about 515.5715112045.

Adding to 137046117 its reverse (711640731), we get a palindrome (848686848).

The spelling of 137046117 in words is "one hundred thirty-seven million, forty-six thousand, one hundred seventeen".

Divisors: 1 3 13 39 43 71 129 213 559 923 1151 1677 2769 3053 3453 9159 14963 39689 44889 49493 81721 119067 148479 245163 643409 1062373 1930227 3187119 3514003 10542009 45682039 137046117