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137839 = 1323461
BaseRepresentation
bin100001101001101111
321000002011
4201221233
513402324
62542051
71112602
oct415157
9230064
10137839
1194619
1267927
134a980
1438339
152ac94
hex21a6f

137839 has 8 divisors (see below), whose sum is σ = 155232. Its totient is φ = 121440.

The previous prime is 137831. The next prime is 137849. The reversal of 137839 is 938731.

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

It is not a de Polignac number, because 137839 - 23 = 137831 is a prime.

It is a d-powerful number, because it can be written as 1 + 39 + 8 + 72 + 310 + 95 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137839.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137831) 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, 69 + ... + 529.

It is an arithmetic number, because the mean of its divisors is an integer number (19404).

137839 is a Friedman number, since it can be written as 7*(8+3^9)+3-1, using all its digits and the basic arithmetic operations.

2137839 is an apocalyptic number.

137839 is a deficient number, since it is larger than the sum of its proper divisors (17393).

137839 is a wasteful number, since it uses less digits than its factorization.

137839 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497.

The product of its digits is 4536, while the sum is 31.

The square root of 137839 is about 371.2667504639. The cubic root of 137839 is about 51.6563882895.

The spelling of 137839 in words is "one hundred thirty-seven thousand, eight hundred thirty-nine".

Divisors: 1 13 23 299 461 5993 10603 137839