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137905885 = 5135773677
BaseRepresentation
bin10000011100001…
…00011011011101
3100121111100022101
420032010123131
5240300442020
621403445101
73263115655
oct1016043335
9317440271
10137905885
1170931807
123a226791
1322756120
141445b365
15c19100a
hex83846dd

137905885 has 16 divisors (see below), whose sum is σ = 178574256. Its totient is φ = 101634048.

The previous prime is 137905883. The next prime is 137905897. The reversal of 137905885 is 588509731.

It can be written as a sum of positive squares in 8 ways, for example, as 8082649 + 129823236 = 2843^2 + 11394^2 .

It is a cyclic number.

It is not a de Polignac number, because 137905885 - 21 = 137905883 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137905883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35667 + ... + 39343.

It is an arithmetic number, because the mean of its divisors is an integer number (11160891).

Almost surely, 2137905885 is an apocalyptic number.

It is an amenable number.

137905885 is a deficient number, since it is larger than the sum of its proper divisors (40668371).

137905885 is a wasteful number, since it uses less digits than its factorization.

137905885 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4272.

The product of its (nonzero) digits is 302400, while the sum is 46.

The square root of 137905885 is about 11743.3336408364. Note that the first 3 decimals coincide. The cubic root of 137905885 is about 516.6474218754.

The spelling of 137905885 in words is "one hundred thirty-seven million, nine hundred five thousand, eight hundred eighty-five".

Divisors: 1 5 13 65 577 2885 3677 7501 18385 37505 47801 239005 2121629 10608145 27581177 137905885