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137201798369 is a prime number
BaseRepresentation
bin111111111000111011…
…1010100110011100001
3111010010211101111201202
41333301313110303201
54221442130021434
6143010222410545
712624663021026
oct1776167246341
9433124344652
10137201798369
1153206924909
1222710730a55
13cc26c4449c
1468d7b5554d
15388023ea7e
hex1ff1dd4ce1

137201798369 has 2 divisors, whose sum is σ = 137201798370. Its totient is φ = 137201798368.

The previous prime is 137201798359. The next prime is 137201798431. The reversal of 137201798369 is 963897102731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136378797025 + 823001344 = 369295^2 + 28688^2 .

It is an emirp because it is prime and its reverse (963897102731) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137201798369 is a prime.

It is a super-2 number, since 2×1372017983692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (137201798329) 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, 68600899184 + 68600899185.

It is an arithmetic number, because the mean of its divisors is an integer number (68600899185).

Almost surely, 2137201798369 is an apocalyptic number.

It is an amenable number.

137201798369 is a deficient number, since it is larger than the sum of its proper divisors (1).

137201798369 is an equidigital number, since it uses as much as digits as its factorization.

137201798369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3429216, while the sum is 56.

The spelling of 137201798369 in words is "one hundred thirty-seven billion, two hundred one million, seven hundred ninety-eight thousand, three hundred sixty-nine".