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134130411225 = 32521049568289
BaseRepresentation
bin111110011101011001…
…0111010011011011001
3110211012210000212122100
41330322302322123121
54144144341124400
6141341344114013
712455606453406
oct1747262723331
9424183025570
10134130411225
1151980136228
1221bb4005909
13c857826c45
1466c5c892ad
153750799100
hex1f3acba6d9

134130411225 has 36 divisors (see below), whose sum is σ = 240471913500. Its totient is φ = 71467898880.

The previous prime is 134130411221. The next prime is 134130411271. The reversal of 134130411225 is 522114031431.

134130411225 is a `hidden beast` number, since 1 + 341 + 304 + 1 + 12 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1101708864 + 133028702361 = 33192^2 + 364731^2 .

It is not a de Polignac number, because 134130411225 - 22 = 134130411221 is a prime.

It is not an unprimeable number, because it can be changed into a prime (134130411221) 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 35 ways as a sum of consecutive naturals, for example, 48120 + ... + 520169.

It is an arithmetic number, because the mean of its divisors is an integer number (6679775375).

Almost surely, 2134130411225 is an apocalyptic number.

134130411225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

134130411225 is a deficient number, since it is larger than the sum of its proper divisors (106341502275).

134130411225 is a wasteful number, since it uses less digits than its factorization.

134130411225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569354 (or 569346 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 134130411225 its reverse (522114031431), we get a palindrome (656244442656).

The spelling of 134130411225 in words is "one hundred thirty-four billion, one hundred thirty million, four hundred eleven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 1049 3147 5245 9441 15735 26225 47205 78675 236025 568289 1704867 2841445 5114601 8524335 14207225 25573005 42621675 127865025 596135161 1788405483 2980675805 5365216449 8942027415 14903379025 26826082245 44710137075 134130411225