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148724801 is a prime number
BaseRepresentation
bin10001101110101…
…01110001000001
3101100212000001222
420313111301001
5301033143201
622431404425
73454066001
oct1067256101
9340760058
10148724801
1176a51165
1241983715
1324a73654
1415a76001
15d0cb91b
hex8dd5c41

148724801 has 2 divisors, whose sum is σ = 148724802. Its totient is φ = 148724800.

The previous prime is 148724773. The next prime is 148724819. The reversal of 148724801 is 108427841.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121528576 + 27196225 = 11024^2 + 5215^2 .

It is a cyclic number.

It is not a de Polignac number, because 148724801 - 222 = 144530497 is a prime.

It is a super-3 number, since 3×1487248013 (a number of 25 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (148724501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 74362400 + 74362401.

It is an arithmetic number, because the mean of its divisors is an integer number (74362401).

Almost surely, 2148724801 is an apocalyptic number.

It is an amenable number.

148724801 is a deficient number, since it is larger than the sum of its proper divisors (1).

148724801 is an equidigital number, since it uses as much as digits as its factorization.

148724801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 148724801 is about 12195.2778156137. The cubic root of 148724801 is about 529.8193296612.

The spelling of 148724801 in words is "one hundred forty-eight million, seven hundred twenty-four thousand, eight hundred one".