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137681589 = 31729127733
BaseRepresentation
bin10000011010011…
…01101010110101
3100121001221122010
420031031222311
5240221302324
621354554433
73261163023
oct1015155265
9317057563
10137681589
1170799241
123a138a19
13226a7cc6
14143dd713
15c149829
hex834dab5

137681589 has 32 divisors (see below), whose sum is σ = 202936320. Its totient is φ = 82639872.

The previous prime is 137681569. The next prime is 137681597. The reversal of 137681589 is 985186731.

137681589 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 137681589 - 27 = 137681461 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137681539) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187467 + ... + 188199.

It is an arithmetic number, because the mean of its divisors is an integer number (6341760).

Almost surely, 2137681589 is an apocalyptic number.

It is an amenable number.

137681589 is a deficient number, since it is larger than the sum of its proper divisors (65254731).

137681589 is a wasteful number, since it uses less digits than its factorization.

137681589 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909.

The product of its digits is 362880, while the sum is 48.

The square root of 137681589 is about 11733.7798257850. The cubic root of 137681589 is about 516.3671707653.

The spelling of 137681589 in words is "one hundred thirty-seven million, six hundred eighty-one thousand, five hundred eighty-nine".

Divisors: 1 3 17 29 51 87 127 381 493 733 1479 2159 2199 3683 6477 11049 12461 21257 37383 62611 63771 93091 187833 279273 361369 1084107 1582547 2699639 4747641 8098917 45893863 137681589