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137287235713 is a prime number
BaseRepresentation
bin111111111011011110…
…1001111100010000001
3111010100210011011201211
41333312331033202001
54222131013020323
6143022513530121
712630051151345
oct1776675174201
9433323134654
10137287235713
115325007a191
1222735273941
13cc3b859724
146905235625
1538879b970d
hex1ff6f4f881

137287235713 has 2 divisors, whose sum is σ = 137287235714. Its totient is φ = 137287235712.

The previous prime is 137287235671. The next prime is 137287235831. The reversal of 137287235713 is 317532782731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137261358144 + 25877569 = 370488^2 + 5087^2 .

It is a cyclic number.

It is not a de Polignac number, because 137287235713 - 233 = 128697301121 is a prime.

It is not a weakly prime, because it can be changed into another prime (137287535713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68643617856 + 68643617857.

It is an arithmetic number, because the mean of its divisors is an integer number (68643617857).

Almost surely, 2137287235713 is an apocalyptic number.

It is an amenable number.

137287235713 is a deficient number, since it is larger than the sum of its proper divisors (1).

137287235713 is an equidigital number, since it uses as much as digits as its factorization.

137287235713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1481760, while the sum is 49.

It can be divided in two parts, 13728723 and 5713, that added together give a square (13734436 = 37062).

The spelling of 137287235713 in words is "one hundred thirty-seven billion, two hundred eighty-seven million, two hundred thirty-five thousand, seven hundred thirteen".