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144145152 = 283262563
BaseRepresentation
bin10001001011101…
…11101100000000
3101001020022222100
420211313230000
5243400121102
622145310400
73400133154
oct1045675400
9331208870
10144145152
1174403428
1240335400
1323b2bcb8
1415203064
15c9c4a1c
hex8977b00

144145152 has 54 divisors (see below), whose sum is σ = 415612652. Its totient is φ = 48047616.

The previous prime is 144145151. The next prime is 144145219. The reversal of 144145152 is 251541441.

144145152 is a `hidden beast` number, since 144 + 1 + 4 + 515 + 2 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (144145151) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28978 + ... + 33585.

Almost surely, 2144145152 is an apocalyptic number.

144145152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144145152 is an abundant number, since it is smaller than the sum of its proper divisors (271467500).

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

144145152 is an equidigital number, since it uses as much as digits as its factorization.

144145152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62585 (or 62568 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 144145152 is about 12006.0464766717. The cubic root of 144145152 is about 524.3243335223.

Adding to 144145152 its reverse (251541441), we get a palindrome (395686593).

The spelling of 144145152 in words is "one hundred forty-four million, one hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 62563 125126 187689 250252 375378 500504 563067 750756 1001008 1126134 1501512 2002016 2252268 3003024 4004032 4504536 6006048 8008064 9009072 12012096 16016128 18018144 24024192 36036288 48048384 72072576 144145152