Search a number
-
+
135044263125 = 34547137571
BaseRepresentation
bin111110111000101000…
…0111110110011010101
3110220120110121100210000
41331301100332303111
54203032312410000
6142012151121513
712520344203562
oct1756120766325
9426513540700
10135044263125
11522a9a69732
122220a073299
13c971c60505
1467713ad869
1537a5b10000
hex1f7143ecd5

135044263125 has 100 divisors (see below), whose sum is σ = 255642593184. Its totient is φ = 71007300000.

The previous prime is 135044263099. The next prime is 135044263171. The reversal of 135044263125 is 521362440531.

135044263125 is a `hidden beast` number, since 1 + 3 + 504 + 4 + 26 + 3 + 125 = 666.

It is not a de Polignac number, because 135044263125 - 215 = 135044230357 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 135044263125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 3575590 + ... + 3613160.

Almost surely, 2135044263125 is an apocalyptic number.

135044263125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135044263125 is a deficient number, since it is larger than the sum of its proper divisors (120598330059).

135044263125 is an frugal number, since it uses more digits than its factorization.

135044263125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37674 (or 37650 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 135044263125 in words is "one hundred thirty-five billion, forty-four million, two hundred sixty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 71 75 81 125 135 213 225 355 375 405 625 639 675 1065 1125 1775 1875 1917 2025 3195 3375 5325 5625 5751 8875 9585 10125 15975 16875 26625 28755 37571 44375 47925 50625 79875 112713 133125 143775 187855 239625 338139 399375 563565 718875 939275 1014417 1198125 1690695 2667541 2817825 3043251 3594375 4696375 5072085 8002623 8453475 13337705 14089125 15216255 23481875 24007869 25360425 40013115 42267375 66688525 70445625 72023607 76081275 120039345 126802125 200065575 211336875 216070821 333442625 360118035 380406375 600196725 634010625 1000327875 1080354105 1667213125 1800590175 1902031875 3000983625 5001639375 5401770525 9002950875 15004918125 27008852625 45014754375 135044263125