Search a number
-
+
144153135 = 33571031481
BaseRepresentation
bin10001001011110…
…01101000101111
3101001020201221000
420211321220233
5243400400020
622145411343
73400165350
oct1045715057
9331221830
10144153135
1174409425
1240339b53
1323b32819
1415205d27
15c9c7090
hex8979a2f

144153135 has 64 divisors (see below), whose sum is σ = 295925760. Its totient is φ = 65214720.

The previous prime is 144153127. The next prime is 144153137. The reversal of 144153135 is 531351441.

It is a happy number.

It is not a de Polignac number, because 144153135 - 23 = 144153127 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 144153099 and 144153108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144153137) 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, 96595 + ... + 98075.

It is an arithmetic number, because the mean of its divisors is an integer number (4623840).

Almost surely, 2144153135 is an apocalyptic number.

144153135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144153135 is an abundant number, since it is smaller than the sum of its proper divisors (151772625).

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

144153135 is a wasteful number, since it uses less digits than its factorization.

144153135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1599 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 144153135 is about 12006.3789295524. The cubic root of 144153135 is about 524.3340126637.

The spelling of 144153135 in words is "one hundred forty-four million, one hundred fifty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 103 105 135 189 309 315 515 721 927 945 1481 1545 2163 2781 3605 4443 4635 6489 7405 10367 10815 13329 13905 19467 22215 31101 32445 39987 51835 66645 93303 97335 152543 155505 199935 279909 457629 466515 762715 1067801 1372887 1399545 2288145 3203403 4118661 5339005 6864435 9610209 16017015 20593305 28830627 48051045 144153135