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137943 = 3413131
BaseRepresentation
bin100001101011010111
321000020000
4201223113
513403233
62542343
71113111
oct415327
9230200
10137943
1194703
12679b3
134aa30
14383b1
152ad13
hex21ad7

137943 has 20 divisors (see below), whose sum is σ = 223608. Its totient is φ = 84240.

The previous prime is 137941. The next prime is 137947. The reversal of 137943 is 349731.

137943 is nontrivially palindromic in base 7.

It is not a de Polignac number, because 137943 - 21 = 137941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137941) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 988 + ... + 1118.

2137943 is an apocalyptic number.

137943 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

137943 is a deficient number, since it is larger than the sum of its proper divisors (85665).

137943 is a wasteful number, since it uses less digits than its factorization.

137943 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 147 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 137943 is about 371.4067850753. The cubic root of 137943 is about 51.6693766644.

The spelling of 137943 in words is "one hundred thirty-seven thousand, nine hundred forty-three".

Divisors: 1 3 9 13 27 39 81 117 131 351 393 1053 1179 1703 3537 5109 10611 15327 45981 137943