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137120247 = 32112236211
BaseRepresentation
bin10000010110001…
…00100111110111
3100120000102121200
420023010213313
5240100321442
621334543543
73253334325
oct1013044767
9316012550
10137120247
1170445520
1239b07bb3
132253c654
14142d4d15
15c08834c
hex82c49f7

137120247 has 24 divisors (see below), whose sum is σ = 217072128. Its totient is φ = 82717200.

The previous prime is 137120219. The next prime is 137120251. The reversal of 137120247 is 742021731.

It is a happy number.

137120247 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 137120247 - 26 = 137120183 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137120247.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137120447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18972 + ... + 25182.

It is an arithmetic number, because the mean of its divisors is an integer number (9044672).

Almost surely, 2137120247 is an apocalyptic number.

137120247 is a deficient number, since it is larger than the sum of its proper divisors (79951881).

137120247 is a wasteful number, since it uses less digits than its factorization.

137120247 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6451 (or 6448 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 137120247 is about 11709.8354813379. The cubic root of 137120247 is about 515.6644541931.

Adding to 137120247 its reverse (742021731), we get a palindrome (879141978).

The spelling of 137120247 in words is "one hundred thirty-seven million, one hundred twenty thousand, two hundred forty-seven".

Divisors: 1 3 9 11 33 99 223 669 2007 2453 6211 7359 18633 22077 55899 68321 204963 614889 1385053 4155159 12465477 15235583 45706749 137120247