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137515015249 is a prime number
BaseRepresentation
bin1000000000010010001…
…0001001110001010001
3111010221122202120111221
42000010202021301101
54223112320441444
6143101252005041
712635515225543
oct2000442116121
9433848676457
10137515015249
1153357706337
1222799600781
13cc76abc111
1469275a9693
15389c9aea84
hex2004889c51

137515015249 has 2 divisors, whose sum is σ = 137515015250. Its totient is φ = 137515015248.

The previous prime is 137515015159. The next prime is 137515015303. The reversal of 137515015249 is 942510515731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123032577600 + 14482437649 = 350760^2 + 120343^2 .

It is a cyclic number.

It is not a de Polignac number, because 137515015249 - 211 = 137515013201 is a prime.

It is not a weakly prime, because it can be changed into another prime (137515015549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68757507624 + 68757507625.

It is an arithmetic number, because the mean of its divisors is an integer number (68757507625).

Almost surely, 2137515015249 is an apocalyptic number.

It is an amenable number.

137515015249 is a deficient number, since it is larger than the sum of its proper divisors (1).

137515015249 is an equidigital number, since it uses as much as digits as its factorization.

137515015249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189000, while the sum is 43.

The spelling of 137515015249 in words is "one hundred thirty-seven billion, five hundred fifteen million, fifteen thousand, two hundred forty-nine".