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137738673 = 32313831289
BaseRepresentation
bin10000011010110…
…11100110110001
3100121011211221100
420031123212301
5240230114143
621400115013
73261521322
oct1015334661
9317154840
10137738673
1170828116
123a165a69
13226c7c97
1414416449
15c15b6d3
hex835b9b1

137738673 has 24 divisors (see below), whose sum is σ = 206069760. Its totient is φ = 88562880.

The previous prime is 137738669. The next prime is 137738683. The reversal of 137738673 is 376837731.

137738673 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137738673 - 22 = 137738669 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137738683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106213 + ... + 107501.

It is an arithmetic number, because the mean of its divisors is an integer number (8586240).

Almost surely, 2137738673 is an apocalyptic number.

It is an amenable number.

137738673 is a deficient number, since it is larger than the sum of its proper divisors (68331087).

137738673 is a wasteful number, since it uses less digits than its factorization.

137738673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1706 counting only the distinct ones).

The product of its digits is 444528, while the sum is 45.

The square root of 137738673 is about 11736.2120379618. The cubic root of 137738673 is about 516.4385243646.

The spelling of 137738673 in words is "one hundred thirty-seven million, seven hundred thirty-eight thousand, six hundred seventy-three".

Divisors: 1 3 9 31 93 279 383 1149 1289 3447 3867 11601 11873 35619 39959 106857 119877 359631 493687 1481061 4443183 15304297 45912891 137738673