Search a number
-
+
146557337 is a prime number
BaseRepresentation
bin10001011110001…
…00100110011001
3101012202212212112
420233010212121
5300004313322
622313122105
73426500603
oct1057044631
9335685775
10146557337
1175800773
12410b9335
1324494c24
1415670173
15ccee5e2
hex8bc4999

146557337 has 2 divisors, whose sum is σ = 146557338. Its totient is φ = 146557336.

The previous prime is 146557273. The next prime is 146557339. The reversal of 146557337 is 733755641.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 144696841 + 1860496 = 12029^2 + 1364^2 .

It is a cyclic number.

It is not a de Polignac number, because 146557337 - 26 = 146557273 is a prime.

Together with 146557339, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 146557294 and 146557303.

It is not a weakly prime, because it can be changed into another prime (146557339) 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, 73278668 + 73278669.

It is an arithmetic number, because the mean of its divisors is an integer number (73278669).

Almost surely, 2146557337 is an apocalyptic number.

It is an amenable number.

146557337 is a deficient number, since it is larger than the sum of its proper divisors (1).

146557337 is an equidigital number, since it uses as much as digits as its factorization.

146557337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 264600, while the sum is 41.

The square root of 146557337 is about 12106.0867748418. The cubic root of 146557337 is about 527.2329227573.

The spelling of 146557337 in words is "one hundred forty-six million, five hundred fifty-seven thousand, three hundred thirty-seven".