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134144325 = 32527531607
BaseRepresentation
bin1111111111011…
…10000101000101
3100100102020102100
413333232011011
5233320104300
621151102313
73216131220
oct777560505
9310366370
10134144325
11697a2687
1238b11999
1321a39c53
1413b5c5b7
15bb9b700
hex7fee145

134144325 has 72 divisors (see below), whose sum is σ = 279946368. Its totient is φ = 60128640.

The previous prime is 134144293. The next prime is 134144327. The reversal of 134144325 is 523441431.

It is a happy number.

It is not a de Polignac number, because 134144325 - 25 = 134144293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134144327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82672 + ... + 84278.

It is an arithmetic number, because the mean of its divisors is an integer number (3888144).

Almost surely, 2134144325 is an apocalyptic number.

134144325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

134144325 is an abundant number, since it is smaller than the sum of its proper divisors (145802043).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134144325 is a wasteful number, since it uses less digits than its factorization.

134144325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1675 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 134144325 is about 11582.0691156632. The cubic root of 134144325 is about 511.9066462386.

Adding to 134144325 its reverse (523441431), we get a palindrome (657585756).

The spelling of 134144325 in words is "one hundred thirty-four million, one hundred forty-four thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 53 63 75 105 159 175 225 265 315 371 477 525 795 1113 1325 1575 1607 1855 2385 3339 3975 4821 5565 8035 9275 11249 11925 14463 16695 24105 27825 33747 40175 56245 72315 83475 85171 101241 120525 168735 255513 281225 361575 425855 506205 596197 766539 843675 1277565 1788591 2129275 2531025 2980985 3832695 5365773 6387825 8942955 14904925 19163475 26828865 44714775 134144325