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137855705 = 5132973133
BaseRepresentation
bin10000011011110…
…00001011011001
3100121101210110212
420031320023121
5240242340310
621402420505
73262516451
oct1015701331
9317353425
10137855705
11708a8039
123a201735
1322739330
1414446d61
15c181205
hex83782d9

137855705 has 16 divisors (see below), whose sum is σ = 184297680. Its totient is φ = 98289408.

The previous prime is 137855699. The next prime is 137855713. The reversal of 137855705 is 507558731.

It can be written as a sum of positive squares in 8 ways, for example, as 1713481 + 136142224 = 1309^2 + 11668^2 .

It is a cyclic number.

It is not a de Polignac number, because 137855705 - 24 = 137855689 is a prime.

It is an unprimeable number.

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, 34682 + ... + 38451.

It is an arithmetic number, because the mean of its divisors is an integer number (11518605).

Almost surely, 2137855705 is an apocalyptic number.

It is an amenable number.

137855705 is a deficient number, since it is larger than the sum of its proper divisors (46441975).

137855705 is a wasteful number, since it uses less digits than its factorization.

137855705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73180.

The product of its (nonzero) digits is 147000, while the sum is 41.

The square root of 137855705 is about 11741.1969151360. The cubic root of 137855705 is about 516.5847498757.

The spelling of 137855705 in words is "one hundred thirty-seven million, eight hundred fifty-five thousand, seven hundred five".

Divisors: 1 5 13 29 65 145 377 1885 73133 365665 950729 2120857 4753645 10604285 27571141 137855705