Search a number
-
+
138125247 = 31311293137
BaseRepresentation
bin10000011101110…
…01111110111111
3100121220111012220
420032321332333
5240330001442
621412300423
73265021341
oct1016717677
9317814186
10138125247
1170a715a7
123a311713
1322801c20
14144b7291
15c1d5eec
hex83b9fbf

138125247 has 16 divisors (see below), whose sum is σ = 198572640. Its totient is φ = 84897792.

The previous prime is 138125213. The next prime is 138125249. The reversal of 138125247 is 742521831.

It is not a de Polignac number, because 138125247 - 28 = 138124991 is a prime.

It is a super-3 number, since 3×1381252473 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138125249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42463 + ... + 45599.

It is an arithmetic number, because the mean of its divisors is an integer number (12410790).

Almost surely, 2138125247 is an apocalyptic number.

138125247 is a deficient number, since it is larger than the sum of its proper divisors (60447393).

138125247 is a wasteful number, since it uses less digits than its factorization.

138125247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282.

The product of its digits is 13440, while the sum is 33.

The square root of 138125247 is about 11752.6697817985. The cubic root of 138125247 is about 516.9212143325.

The spelling of 138125247 in words is "one hundred thirty-eight million, one hundred twenty-five thousand, two hundred forty-seven".

Divisors: 1 3 13 39 1129 3137 3387 9411 14677 40781 44031 122343 3541673 10625019 46041749 138125247