Search a number
-
+
138365775 = 32524153283
BaseRepresentation
bin10000011111101…
…00101101001111
3100122100201011100
420033310231033
5240410201100
621421354143
73300042522
oct1017645517
9318321140
10138365775
1171116289
123a408953
1322887552
141453abb9
15c232400
hex83f4b4f

138365775 has 72 divisors (see below), whose sum is σ = 259577136. Its totient is φ = 70387200.

The previous prime is 138365761. The next prime is 138365779. The reversal of 138365775 is 577563831.

It is not a de Polignac number, because 138365775 - 212 = 138361679 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 138365775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138365779) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 488784 + ... + 489066.

It is an arithmetic number, because the mean of its divisors is an integer number (3605238).

Almost surely, 2138365775 is an apocalyptic number.

138365775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138365775 is a deficient number, since it is larger than the sum of its proper divisors (121211361).

138365775 is a wasteful number, since it uses less digits than its factorization.

138365775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 385 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 138365775 is about 11762.8982398047. The cubic root of 138365775 is about 517.2210917445.

The spelling of 138365775 in words is "one hundred thirty-eight million, three hundred sixty-five thousand, seven hundred seventy-five".

Divisors: 1 3 5 9 15 25 41 45 53 75 123 159 205 225 265 283 369 477 615 795 849 1025 1325 1415 1845 2173 2385 2547 3075 3975 4245 6519 7075 9225 10865 11603 11925 12735 14999 19557 21225 32595 34809 44997 54325 58015 63675 74995 97785 104427 134991 162975 174045 224985 290075 374975 488925 522135 614959 674955 870225 1124925 1844877 2610675 3074795 3374775 5534631 9224385 15373975 27673155 46121925 138365775