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137408870955449 is a prime number
BaseRepresentation
bin11111001111100011111110…
…111100010011100110111001
3200000112011022110210212022102
4133033203332330103212321
5121002301331431033244
61204124432555033145
740641314626562612
oct3717437674234671
9600464273725272
10137408870955449
113a86785845a005
12134b2914a3b7b5
135b897a73294c2
1425d08a67bac09
1510d44c037c54e
hex7cf8fef139b9

137408870955449 has 2 divisors, whose sum is σ = 137408870955450. Its totient is φ = 137408870955448.

The previous prime is 137408870955437. The next prime is 137408870955451. The reversal of 137408870955449 is 944559078804731.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120463356336400 + 16945514619049 = 10975580^2 + 4116493^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137408870955449 is a prime.

It is a super-3 number, since 3×1374088709554493 (a number of 43 digits) contains 333 as substring.

Together with 137408870955451, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137408870955949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68704435477724 + 68704435477725.

It is an arithmetic number, because the mean of its divisors is an integer number (68704435477725).

Almost surely, 2137408870955449 is an apocalyptic number.

It is an amenable number.

137408870955449 is a deficient number, since it is larger than the sum of its proper divisors (1).

137408870955449 is an equidigital number, since it uses as much as digits as its factorization.

137408870955449 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1219276800, while the sum is 74.

The spelling of 137408870955449 in words is "one hundred thirty-seven trillion, four hundred eight billion, eight hundred seventy million, nine hundred fifty-five thousand, four hundred forty-nine".