Search a number
-
+
137129191 = 1797137607
BaseRepresentation
bin10000010110001…
…10110011100111
3100120000212212221
420023012303213
5240101113231
621335053211
73253402363
oct1013066347
9316025787
10137129191
1170451211
1239b11207
1322543744
14142d82a3
15c08ad11
hex82c6ce7

137129191 has 16 divisors (see below), whose sum is σ = 148006656. Its totient is φ = 126590976.

The previous prime is 137129189. The next prime is 137129207. The reversal of 137129191 is 191921731.

137129191 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 137129191 - 21 = 137129189 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 (137129131) 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, 225610 + ... + 226216.

It is an arithmetic number, because the mean of its divisors is an integer number (9250416).

Almost surely, 2137129191 is an apocalyptic number.

137129191 is a deficient number, since it is larger than the sum of its proper divisors (10877465).

137129191 is a wasteful number, since it uses less digits than its factorization.

137129191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858.

The product of its digits is 3402, while the sum is 34.

The square root of 137129191 is about 11710.2173762915. The cubic root of 137129191 is about 515.6756657701.

The spelling of 137129191 in words is "one hundred thirty-seven million, one hundred twenty-nine thousand, one hundred ninety-one".

Divisors: 1 17 97 137 607 1649 2329 10319 13289 58879 83159 225913 1000943 1413703 8066423 137129191