Search a number
-
+
144135520 = 25517192789
BaseRepresentation
bin10001001011101…
…01010101100000
3101001012211202121
420211311111200
5243344314040
622145154024
73400063114
oct1045652540
9331184677
10144135520
11743a7171
124032b914
1323b277b9
14151dd744
15c9c1c4a
hex8975560

144135520 has 96 divisors (see below), whose sum is σ = 379663200. Its totient is φ = 51388416.

The previous prime is 144135517. The next prime is 144135557. The reversal of 144135520 is 25531441.

It is a happy number.

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, 50286 + ... + 53074.

It is an arithmetic number, because the mean of its divisors is an integer number (3954825).

Almost surely, 2144135520 is an apocalyptic number.

144135520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144135520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189831600).

144135520 is an abundant number, since it is smaller than the sum of its proper divisors (235527680).

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

144135520 is a wasteful number, since it uses less digits than its factorization.

144135520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 144135520 is about 12005.6453387563. The cubic root of 144135520 is about 524.3126545437.

Adding to 144135520 its reverse (25531441), we get a palindrome (169666961).

The spelling of 144135520 in words is "one hundred forty-four million, one hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 68 76 80 85 95 136 152 160 170 190 272 304 323 340 380 544 608 646 680 760 1292 1360 1520 1615 2584 2720 2789 3040 3230 5168 5578 6460 10336 11156 12920 13945 22312 25840 27890 44624 47413 51680 52991 55780 89248 94826 105982 111560 189652 211964 223120 237065 264955 379304 423928 446240 474130 529910 758608 847856 900847 948260 1059820 1517216 1695712 1801694 1896520 2119640 3603388 3793040 4239280 4504235 7206776 7586080 8478560 9008470 14413552 18016940 28827104 36033880 72067760 144135520