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137129181 = 3750912829
BaseRepresentation
bin10000010110001…
…10110011011101
3100120000212212120
420023012303131
5240101113211
621335053153
73253402350
oct1013066335
9316025776
10137129181
1170451202
1239b111b9
1322543737
14142d8297
15c08ad06
hex82c6cdd

137129181 has 16 divisors (see below), whose sum is σ = 209385600. Its totient is φ = 78199488.

The previous prime is 137129177. The next prime is 137129189. The reversal of 137129181 is 181921731.

137129181 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 137129181 - 22 = 137129177 is a prime.

It is a super-2 number, since 2×1371291812 = 37608824563461522, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137129189) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4275 + ... + 17103.

It is an arithmetic number, because the mean of its divisors is an integer number (13086600).

Almost surely, 2137129181 is an apocalyptic number.

It is an amenable number.

137129181 is a deficient number, since it is larger than the sum of its proper divisors (72256419).

137129181 is a wasteful number, since it uses less digits than its factorization.

137129181 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13348.

The product of its digits is 3024, while the sum is 33.

The square root of 137129181 is about 11710.2169493140. The cubic root of 137129181 is about 515.6756532350.

The spelling of 137129181 in words is "one hundred thirty-seven million, one hundred twenty-nine thousand, one hundred eighty-one".

Divisors: 1 3 7 21 509 1527 3563 10689 12829 38487 89803 269409 6529961 19589883 45709727 137129181