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144653125 = 55411129
BaseRepresentation
bin10001001111100…
…11101101000101
3101002012010210011
420213303231011
5244012400000
622204230221
73404350141
oct1047635505
9332163704
10144653125
1174720041
124053b371
1323c79286
14152d6221
15ca752ba
hex89f3b45

144653125 has 24 divisors (see below), whose sum is σ = 185378760. Its totient is φ = 112800000.

The previous prime is 144653101. The next prime is 144653149. The reversal of 144653125 is 521356441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144653101) and next prime (144653149).

It can be written as a sum of positive squares in 12 ways, for example, as 112741924 + 31911201 = 10618^2 + 5649^2 .

It is not a de Polignac number, because 144653125 - 27 = 144652997 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127561 + ... + 128689.

It is an arithmetic number, because the mean of its divisors is an integer number (7724115).

Almost surely, 2144653125 is an apocalyptic number.

It is an amenable number.

144653125 is a deficient number, since it is larger than the sum of its proper divisors (40725635).

144653125 is an frugal number, since it uses more digits than its factorization.

144653125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1175 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

The square root of 144653125 is about 12027.1827540784. The cubic root of 144653125 is about 524.9395244021.

The spelling of 144653125 in words is "one hundred forty-four million, six hundred fifty-three thousand, one hundred twenty-five".

Divisors: 1 5 25 41 125 205 625 1025 1129 3125 5125 5645 25625 28225 46289 128125 141125 231445 705625 1157225 3528125 5786125 28930625 144653125