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137449892081 is a prime number
BaseRepresentation
bin1000000000000010100…
…1101110100011110001
3111010210010012222022202
42000000221232203301
54222444133021311
6143051004112545
712634064543225
oct2000051564361
9433703188282
10137449892081
1153323976337
122277b835755
13cc6646a2b8
14691ca96785
153896de8e3b
hex2000a6e8f1

137449892081 has 2 divisors, whose sum is σ = 137449892082. Its totient is φ = 137449892080.

The previous prime is 137449891993. The next prime is 137449892087. The reversal of 137449892081 is 180298944731.

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., 120173155600 + 17276736481 = 346660^2 + 131441^2 .

It is a cyclic number.

It is not a de Polignac number, because 137449892081 - 218 = 137449629937 is a prime.

It is a super-2 number, since 2×1374498920812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (137449892087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68724946040 + 68724946041.

It is an arithmetic number, because the mean of its divisors is an integer number (68724946041).

Almost surely, 2137449892081 is an apocalyptic number.

It is an amenable number.

137449892081 is a deficient number, since it is larger than the sum of its proper divisors (1).

137449892081 is an equidigital number, since it uses as much as digits as its factorization.

137449892081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3483648, while the sum is 56.

The spelling of 137449892081 in words is "one hundred thirty-seven billion, four hundred forty-nine million, eight hundred ninety-two thousand, eighty-one".