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137281 = 1071283
BaseRepresentation
bin100001100001000001
320222022111
4201201001
513343111
62535321
71111144
oct414101
9228274
10137281
1194161
1267541
134a641
143805b
152aa21
hex21841

137281 has 4 divisors (see below), whose sum is σ = 138672. Its totient is φ = 135892.

The previous prime is 137279. The next prime is 137303. The reversal of 137281 is 182731.

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 an emirpimes, since its reverse is a distinct semiprime: 182731 = 359509.

It is a cyclic number.

It is not a de Polignac number, because 137281 - 21 = 137279 is a prime.

It is a super-2 number, since 2×1372812 = 37692145922, which contains 22 as substring.

It is a Smith number, since the sum of its digits (22) 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 a plaindrome in base 7.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (137201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 535 + ... + 748.

It is an arithmetic number, because the mean of its divisors is an integer number (34668).

137281 is a Friedman number, since it can be written as 131^2*8-7, using all its digits and the basic arithmetic operations.

2137281 is an apocalyptic number.

It is an amenable number.

137281 is a deficient number, since it is larger than the sum of its proper divisors (1391).

137281 is a wasteful number, since it uses less digits than its factorization.

137281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390.

The product of its digits is 336, while the sum is 22.

The square root of 137281 is about 370.5145071384. The cubic root of 137281 is about 51.5865888669.

The spelling of 137281 in words is "one hundred thirty-seven thousand, two hundred eighty-one".

Divisors: 1 107 1283 137281