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137853385 = 5291019413
BaseRepresentation
bin10000011011101…
…11100111001001
3100121101200021221
420031313213021
5240242302020
621402402041
73262506625
oct1015674711
9317350257
10137853385
11708a631a
123a200321
1322738267
1414446185
15c1806aa
hex83779c9

137853385 has 16 divisors (see below), whose sum is σ = 172841040. Its totient is φ = 105414400.

The previous prime is 137853367. The next prime is 137853403. The reversal of 137853385 is 583358731.

It is an interprime number because it is at equal distance from previous prime (137853367) and next prime (137853403).

It can be written as a sum of positive squares in 8 ways, for example, as 44769481 + 93083904 = 6691^2 + 9648^2 .

It is not a de Polignac number, because 137853385 - 217 = 137722313 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9939 + ... + 19351.

It is an arithmetic number, because the mean of its divisors is an integer number (10802565).

Almost surely, 2137853385 is an apocalyptic number.

It is an amenable number.

137853385 is a deficient number, since it is larger than the sum of its proper divisors (34987655).

137853385 is a wasteful number, since it uses less digits than its factorization.

137853385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9548.

The product of its digits is 302400, while the sum is 43.

The square root of 137853385 is about 11741.0981172972. The cubic root of 137853385 is about 516.5818519582.

The spelling of 137853385 in words is "one hundred thirty-seven million, eight hundred fifty-three thousand, three hundred eighty-five".

Divisors: 1 5 29 101 145 505 2929 9413 14645 47065 272977 950713 1364885 4753565 27570677 137853385