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134188144489 = 7243212172
BaseRepresentation
bin111110011111000111…
…1001001011101101001
3110211100210200000210101
41330332033021131221
54144304131110424
6141351205345401
712460210260100
oct1747617113551
9424323600711
10134188144489
11519aa789073
122200b408261
13c86678c239
1466cd7d7037
1537558a0344
hex1f3e3c9769

134188144489 has 27 divisors (see below), whose sum is σ = 159942407607. Its totient is φ = 112251250944.

The previous prime is 134188144487. The next prime is 134188144507. The reversal of 134188144489 is 984441881431.

The square root of 134188144489 is 366317.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 45030962025 + 89157182464 = 212205^2 + 298592^2 .

It is not a de Polignac number, because 134188144489 - 21 = 134188144487 is a prime.

It is a super-2 number, since 2×1341881444892 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (134188144481) 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 in 26 ways as a sum of consecutive naturals, for example, 110260809 + ... + 110262025.

Almost surely, 2134188144489 is an apocalyptic number.

134188144489 is the 366317-th square number.

134188144489 is the 183159-th centered octagonal number.

It is an amenable number.

134188144489 is a deficient number, since it is larger than the sum of its proper divisors (25754263118).

134188144489 is an frugal number, since it uses more digits than its factorization.

134188144489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534 (or 1267 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 55.

The spelling of 134188144489 in words is "one hundred thirty-four billion, one hundred eighty-eight million, one hundred forty-four thousand, four hundred eighty-nine".

Divisors: 1 7 43 49 301 1217 1849 2107 8519 12943 52331 59633 90601 366317 1481089 2250233 2564219 10367623 15751631 63686827 72573361 110261417 445807789 2738533561 3120654523 19169734927 134188144489