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144132144 = 24313317451
BaseRepresentation
bin10001001011101…
…00100000110000
3101001012200010120
420211310200300
5243344212034
622145130240
73400050222
oct1045644060
9331180116
10144132144
11743a4682
1240329980
1323b260c0
14151dc412
15c9c0c49
hex8974830

144132144 has 80 divisors (see below), whose sum is σ = 413973504. Its totient is φ = 42912000.

The previous prime is 144132139. The next prime is 144132181. The reversal of 144132144 is 441231441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15619 + ... + 23069.

Almost surely, 2144132144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144132144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206986752).

144132144 is an abundant number, since it is smaller than the sum of its proper divisors (269841360).

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

144132144 is a wasteful number, since it uses less digits than its factorization.

144132144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7506 (or 7500 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 144132144 is about 12005.5047374111. The cubic root of 144132144 is about 524.3085609579.

Adding to 144132144 its reverse (441231441), we get a palindrome (585363585).

The spelling of 144132144 in words is "one hundred forty-four million, one hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2418 3224 4836 6448 7451 9672 14902 19344 22353 29804 44706 59608 89412 96863 119216 178824 193726 230981 290589 357648 387452 461962 581178 692943 774904 923924 1162356 1385886 1549808 1847848 2324712 2771772 3002753 3695696 4649424 5543544 6005506 9008259 11087088 12011012 18016518 24022024 36033036 48044048 72066072 144132144