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145838180753 is a prime number
BaseRepresentation
bin1000011111010010100…
…0100000100110010001
3111221102201021012010222
42013310220200212101
54342134033241003
6150555214202425
713352002040306
oct2076450404621
9457381235128
10145838180753
115693893a811
1224320ab3415
13109a2281215
1470b6b570ad
153bd8542c38
hex21f4a20991

145838180753 has 2 divisors, whose sum is σ = 145838180754. Its totient is φ = 145838180752.

The previous prime is 145838180743. The next prime is 145838180809. The reversal of 145838180753 is 357081838541.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73879045249 + 71959135504 = 271807^2 + 268252^2 .

It is an emirp because it is prime and its reverse (357081838541) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 145838180753 - 224 = 145821403537 is a prime.

It is a super-3 number, since 3×1458381807533 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145838180695 and 145838180704.

It is not a weakly prime, because it can be changed into another prime (145838180743) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72919090376 + 72919090377.

It is an arithmetic number, because the mean of its divisors is an integer number (72919090377).

Almost surely, 2145838180753 is an apocalyptic number.

It is an amenable number.

145838180753 is a deficient number, since it is larger than the sum of its proper divisors (1).

145838180753 is an equidigital number, since it uses as much as digits as its factorization.

145838180753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3225600, while the sum is 53.

The spelling of 145838180753 in words is "one hundred forty-five billion, eight hundred thirty-eight million, one hundred eighty thousand, seven hundred fifty-three".