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137841 = 3114177
BaseRepresentation
bin100001101001110001
321000002020
4201221301
513402331
62542053
71112604
oct415161
9230066
10137841
1194620
1267929
134a982
143833b
152ac96
hex21a71

137841 has 8 divisors (see below), whose sum is σ = 200544. Its totient is φ = 83520.

The previous prime is 137831. The next prime is 137849. The reversal of 137841 is 148731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 137841 - 26 = 137777 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (137849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2056 + ... + 2121.

It is an arithmetic number, because the mean of its divisors is an integer number (25068).

2137841 is an apocalyptic number.

137841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137841 is a deficient number, since it is larger than the sum of its proper divisors (62703).

137841 is a wasteful number, since it uses less digits than its factorization.

137841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4191.

The product of its digits is 672, while the sum is 24.

The square root of 137841 is about 371.2694439353. The cubic root of 137841 is about 51.6566381276.

The spelling of 137841 in words is "one hundred thirty-seven thousand, eight hundred forty-one".

Divisors: 1 3 11 33 4177 12531 45947 137841