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137525250089 is a prime number
BaseRepresentation
bin1000000000010100100…
…1001100100000101001
3111010222101000120002002
42000011021030200221
54223122431000324
6143102255220345
712636001223663
oct2000511144051
9433871016062
10137525250089
1153362466987
12227a0b176b5
13cc78c63836
146928ab1533
15389d8323ae
hex200524c829

137525250089 has 2 divisors, whose sum is σ = 137525250090. Its totient is φ = 137525250088.

The previous prime is 137525250073. The next prime is 137525250157. The reversal of 137525250089 is 980052525731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137498572864 + 26677225 = 370808^2 + 5165^2 .

It is a cyclic number.

It is not a de Polignac number, because 137525250089 - 24 = 137525250073 is a prime.

It is not a weakly prime, because it can be changed into another prime (137525220089) 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, 68762625044 + 68762625045.

It is an arithmetic number, because the mean of its divisors is an integer number (68762625045).

Almost surely, 2137525250089 is an apocalyptic number.

It is an amenable number.

137525250089 is a deficient number, since it is larger than the sum of its proper divisors (1).

137525250089 is an equidigital number, since it uses as much as digits as its factorization.

137525250089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756000, while the sum is 47.

The spelling of 137525250089 in words is "one hundred thirty-seven billion, five hundred twenty-five million, two hundred fifty thousand, eighty-nine".