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135401460 = 223523591663
BaseRepresentation
bin10000001001000…
…00111111110100
3100102210002212220
420010200333310
5234130321320
621234042340
73232615305
oct1004407764
9312702786
10135401460
116a481137
12394193b0
132208a20c
1413da87ac
15bd48e40
hex8120ff4

135401460 has 96 divisors (see below), whose sum is σ = 402554880. Its totient is φ = 33931392.

The previous prime is 135401423. The next prime is 135401471. The reversal of 135401460 is 64104531.

It is a self number, because there is not a number n which added to its sum of digits gives 135401460.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80589 + ... + 82251.

It is an arithmetic number, because the mean of its divisors is an integer number (4193280).

Almost surely, 2135401460 is an apocalyptic number.

135401460 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 135401460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201277440).

135401460 is an abundant number, since it is smaller than the sum of its proper divisors (267153420).

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

135401460 is a wasteful number, since it uses less digits than its factorization.

135401460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 135401460 is about 11636.2133015857. The cubic root of 135401460 is about 513.5007896171.

Adding to 135401460 its reverse (64104531), we get a palindrome (199505991).

The spelling of 135401460 in words is "one hundred thirty-five million, four hundred one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 59 60 69 92 115 118 138 177 230 236 276 295 345 354 460 590 690 708 885 1180 1357 1380 1663 1770 2714 3326 3540 4071 4989 5428 6652 6785 8142 8315 9978 13570 16284 16630 19956 20355 24945 27140 33260 38249 40710 49890 76498 81420 98117 99780 114747 152996 191245 196234 229494 294351 382490 392468 458988 490585 573735 588702 764980 981170 1147470 1177404 1471755 1962340 2256691 2294940 2943510 4513382 5887020 6770073 9026764 11283455 13540146 22566910 27080292 33850365 45133820 67700730 135401460