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137261341546853 is a prime number
BaseRepresentation
bin11111001101011010100101…
…100000010001100101100101
3200000000001111220012101201012
4133031122211200101211211
5120442342211413444403
61203532553443512005
740624543000364006
oct3715324540214545
9600001456171635
10137261341546853
113a8102319a8837
121348a201688605
135b788c5880764
1425c76ad1c31ad
1510d0738619ed8
hex7cd6a5811965

137261341546853 has 2 divisors, whose sum is σ = 137261341546854. Its totient is φ = 137261341546852.

The previous prime is 137261341546837. The next prime is 137261341546897. The reversal of 137261341546853 is 358645143162731.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 135214058472964 + 2047283073889 = 11628158^2 + 1430833^2 .

It is a cyclic number.

It is not a de Polignac number, because 137261341546853 - 24 = 137261341546837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137261341546792 and 137261341546801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137261341546453) 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, 68630670773426 + 68630670773427.

It is an arithmetic number, because the mean of its divisors is an integer number (68630670773427).

Almost surely, 2137261341546853 is an apocalyptic number.

It is an amenable number.

137261341546853 is a deficient number, since it is larger than the sum of its proper divisors (1).

137261341546853 is an equidigital number, since it uses as much as digits as its factorization.

137261341546853 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 43545600, while the sum is 59.

The spelling of 137261341546853 in words is "one hundred thirty-seven trillion, two hundred sixty-one billion, three hundred forty-one million, five hundred forty-six thousand, eight hundred fifty-three".