Search a number
-
+
135341460 = 22325839059
BaseRepresentation
bin10000001000100…
…10010110010100
3100102200001120200
420010102112110
5234121411320
621232500500
73232245342
oct1004222624
9312601520
10135341460
116a440051
12393aa730
1322068b07
1413d90992
15bd36290
hex8112594

135341460 has 72 divisors (see below), whose sum is σ = 415527840. Its totient is φ = 35652288.

The previous prime is 135341447. The next prime is 135341473. The reversal of 135341460 is 64143531.

It is an interprime number because it is at equal distance from previous prime (135341447) and next prime (135341473).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10411 + ... + 19469.

It is an arithmetic number, because the mean of its divisors is an integer number (5771220).

Almost surely, 2135341460 is an apocalyptic number.

135341460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135341460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207763920).

135341460 is an abundant number, since it is smaller than the sum of its proper divisors (280186380).

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

135341460 is a wasteful number, since it uses less digits than its factorization.

135341460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9157 (or 9152 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 135341460 is about 11633.6348576015. The cubic root of 135341460 is about 513.4249297767.

Adding to 135341460 its reverse (64143531), we get a palindrome (199484991).

The spelling of 135341460 in words is "one hundred thirty-five million, three hundred forty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1660 2490 2988 3735 4980 7470 9059 14940 18118 27177 36236 45295 54354 81531 90590 108708 135885 163062 181180 271770 326124 407655 543540 751897 815310 1503794 1630620 2255691 3007588 3759485 4511382 6767073 7518970 9022764 11278455 13534146 15037940 22556910 27068292 33835365 45113820 67670730 135341460