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80137 = 127631
BaseRepresentation
bin10011100100001001
311001221001
4103210021
510031022
61415001
7452431
oct234411
9131831
1080137
1155232
123a461
132a625
14212c1
1518b27
hex13909

80137 has 4 divisors (see below), whose sum is σ = 80896. Its totient is φ = 79380.

The previous prime is 80111. The next prime is 80141. The reversal of 80137 is 73108.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-80137 is a prime.

It is a Duffinian number.

80137 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (80107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 189 + ... + 442.

It is an arithmetic number, because the mean of its divisors is an integer number (20224).

280137 is an apocalyptic number.

It is an amenable number.

80137 is a deficient number, since it is larger than the sum of its proper divisors (759).

80137 is a wasteful number, since it uses less digits than its factorization.

80137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 80137 is about 283.0847929508. The cubic root of 80137 is about 43.1132762362.

It can be divided in two parts, 801 and 37, that added together give a palindrome (838).

The spelling of 80137 in words is "eighty thousand, one hundred thirty-seven".

Divisors: 1 127 631 80137