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138249 = 3215361
BaseRepresentation
bin100001110000001001
321000122100
4201300021
513410444
62544013
71114026
oct416011
9230570
10138249
1194961
1268009
134ac07
143854d
152ae69
hex21c09

138249 has 6 divisors (see below), whose sum is σ = 199706. Its totient is φ = 92160.

The previous prime is 138247. The next prime is 138251. The reversal of 138249 is 942831.

It is an interprime number because it is at equal distance from previous prime (138247) and next prime (138251).

It can be written as a sum of positive squares in only one way, i.e., 129600 + 8649 = 360^2 + 93^2 .

It is not a de Polignac number, because 138249 - 21 = 138247 is a prime.

It is a super-2 number, since 2×1382492 = 38225572002, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138241) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7672 + ... + 7689.

2138249 is an apocalyptic number.

It is an amenable number.

138249 is a deficient number, since it is larger than the sum of its proper divisors (61457).

138249 is a wasteful number, since it uses less digits than its factorization.

138249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15367 (or 15364 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 138249 is about 371.8185041119. The cubic root of 138249 is about 51.7075546378.

It can be divided in two parts, 1382 and 49, that added together give a triangular number (1431 = T53).

The spelling of 138249 in words is "one hundred thirty-eight thousand, two hundred forty-nine".

Divisors: 1 3 9 15361 46083 138249