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137285673601 is a prime number
BaseRepresentation
bin111111111011011011…
…1010010001010000001
3111010100200012210220211
41333312313102022001
54222130113023401
6143022420234121
712630031654156
oct1776667221201
9433320183824
10137285673601
115324a20258a
122273483b941
13cc3b4306bb
146904d4a22d
1538877ab951
hex1ff6dd2281

137285673601 has 2 divisors, whose sum is σ = 137285673602. Its totient is φ = 137285673600.

The previous prime is 137285673589. The next prime is 137285673673. The reversal of 137285673601 is 106376582731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92629531201 + 44656142400 = 304351^2 + 211320^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137285673601 is a prime.

It is not a weakly prime, because it can be changed into another prime (137285673901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68642836800 + 68642836801.

It is an arithmetic number, because the mean of its divisors is an integer number (68642836801).

Almost surely, 2137285673601 is an apocalyptic number.

It is an amenable number.

137285673601 is a deficient number, since it is larger than the sum of its proper divisors (1).

137285673601 is an equidigital number, since it uses as much as digits as its factorization.

137285673601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1270080, while the sum is 49.

The spelling of 137285673601 in words is "one hundred thirty-seven billion, two hundred eighty-five million, six hundred seventy-three thousand, six hundred one".