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1346134125 = 3537273259
BaseRepresentation
bin101000000111100…
…0110000001101101
310110210222200212110
41100033012001231
510224102243000
6341324154233
745233644200
oct12017060155
93423880773
101346134125
11630948546
12316998979
13185b6b88b
14caacd937
157d2a4850
hex503c606d

1346134125 has 48 divisors (see below), whose sum is σ = 2605711680. Its totient is φ = 615367200.

The previous prime is 1346134109. The next prime is 1346134129. The reversal of 1346134125 is 5214316431.

It is not a de Polignac number, because 1346134125 - 24 = 1346134109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1346134092 and 1346134101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1346134129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18255 + ... + 55004.

It is an arithmetic number, because the mean of its divisors is an integer number (54285660).

Almost surely, 21346134125 is an apocalyptic number.

1346134125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1346134125 is a deficient number, since it is larger than the sum of its proper divisors (1259577555).

1346134125 is an equidigital number, since it uses as much as digits as its factorization.

1346134125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73291 (or 73274 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 1346134125 is about 36689.7005302578. The cubic root of 1346134125 is about 1104.1534776321.

It can be divided in two parts, 13461 and 34125, that added together give a triangular number (47586 = T308).

The spelling of 1346134125 in words is "one billion, three hundred forty-six million, one hundred thirty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 125 147 175 245 375 525 735 875 1225 2625 3675 6125 18375 73259 219777 366295 512813 1098885 1538439 1831475 2564065 3589691 5494425 7692195 9157375 10769073 12820325 17948455 27472125 38460975 53845365 64101625 89742275 192304875 269226825 448711375 1346134125