Search a number
-
+
138668145 = 35711211569
BaseRepresentation
bin10000100001111…
…10100001110001
3100122221001221020
420100332201301
5240444340040
621432050053
73302442210
oct1020764161
9318831836
10138668145
1171302480
123a533929
1322962075
14145b9077
15c291cd0
hex843e871

138668145 has 64 divisors (see below), whose sum is σ = 278415360. Its totient is φ = 57254400.

The previous prime is 138668143. The next prime is 138668197. The reversal of 138668145 is 541866831.

It is not a de Polignac number, because 138668145 - 21 = 138668143 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 138668097 and 138668106.

It is not an unprimeable number, because it can be changed into a prime (138668143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 243421 + ... + 243989.

It is an arithmetic number, because the mean of its divisors is an integer number (4350240).

Almost surely, 2138668145 is an apocalyptic number.

138668145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138668145 is an abundant number, since it is smaller than the sum of its proper divisors (139747215).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138668145 is a wasteful number, since it uses less digits than its factorization.

138668145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806.

The product of its digits is 138240, while the sum is 42.

The square root of 138668145 is about 11775.7439255446. The cubic root of 138668145 is about 517.5975778099.

The spelling of 138668145 in words is "one hundred thirty-eight million, six hundred sixty-eight thousand, one hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 211 231 385 569 633 1055 1155 1477 1707 2321 2845 3165 3983 4431 6259 6963 7385 8535 11605 11949 16247 18777 19915 22155 31295 34815 43813 48741 59745 81235 93885 120059 131439 219065 243705 360177 600295 657195 840413 1320649 1800885 2521239 3961947 4202065 6603245 9244543 12606195 19809735 27733629 46222715 138668145