Search a number
-
+
135041313525 = 35261193152939
BaseRepresentation
bin111110111000100010…
…1101110101011110101
3110220120021001111200120
41331301011232223311
54203031034013100
6142012004002153
712520310140266
oct1756105565365
9426507044616
10135041313525
11522a8334648
1222209090359
13c971469aa1
146770c4296d
1537a572b0a0
hex1f7116eaf5

135041313525 has 48 divisors (see below), whose sum is σ = 228105727680. Its totient is φ = 70473830400.

The previous prime is 135041313523. The next prime is 135041313541. The reversal of 135041313525 is 525313140531.

It is not a de Polignac number, because 135041313525 - 21 = 135041313523 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135041313523) 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 47 ways as a sum of consecutive naturals, for example, 806506 + ... + 959444.

It is an arithmetic number, because the mean of its divisors is an integer number (4752202660).

Almost surely, 2135041313525 is an apocalyptic number.

135041313525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135041313525 is a deficient number, since it is larger than the sum of its proper divisors (93064414155).

135041313525 is a wasteful number, since it uses less digits than its factorization.

135041313525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153206 (or 153201 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The spelling of 135041313525 in words is "one hundred thirty-five billion, forty-one million, three hundred thirteen thousand, five hundred twenty-five".

Divisors: 1 3 5 15 25 61 75 183 193 305 579 915 965 1525 2895 4575 4825 11773 14475 35319 58865 152939 176595 294325 458817 764695 882975 2294085 3823475 9329279 11470425 27987837 29517227 46646395 88551681 139939185 147586135 233231975 442758405 699695925 737930675 1800550847 2213792025 5401652541 9002754235 27008262705 45013771175 135041313525