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135660146064 = 243173110949201
BaseRepresentation
bin111111001010111111…
…0011000110110010000
3110222011101111110100020
41332111332120312100
54210312444133224
6142153231423440
712541533133632
oct1762576306620
9428141443306
10135660146064
11525956856a3
1222360384b80
13ca3c72a5a1
1467cd0cca52
1537dec18c79
hex1f95f98d90

135660146064 has 160 divisors (see below), whose sum is σ = 386562401280. Its totient is φ = 40808448000.

The previous prime is 135660146029. The next prime is 135660146077. The reversal of 135660146064 is 460641066531.

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, 2732664 + ... + 2781864.

It is an arithmetic number, because the mean of its divisors is an integer number (2416015008).

Almost surely, 2135660146064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135660146064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193281200640).

135660146064 is an abundant number, since it is smaller than the sum of its proper divisors (250902255216).

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

135660146064 is a wasteful number, since it uses less digits than its factorization.

135660146064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49369 (or 49363 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 135660146064 in words is "one hundred thirty-five billion, six hundred sixty million, one hundred forty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 109 124 136 186 204 218 248 272 327 372 408 436 496 527 654 744 816 872 1054 1308 1488 1581 1744 1853 2108 2616 3162 3379 3706 4216 5232 5559 6324 6758 7412 8432 10137 11118 12648 13516 14824 20274 22236 25296 27032 29648 40548 44472 49201 54064 57443 81096 88944 98402 114886 147603 162192 172329 196804 229772 295206 344658 393608 459544 590412 689316 787216 836417 919088 1180824 1378632 1525231 1672834 2361648 2509251 2757264 3050462 3345668 4575693 5018502 5362909 6100924 6691336 9151386 10037004 10725818 12201848 13382672 16088727 18302772 20074008 21451636 24403696 25928927 32177454 36605544 40148016 42903272 51857854 64354908 73211088 77786781 85806544 91169453 103715708 128709816 155573562 166250179 182338906 207431416 257419632 273508359 311147124 332500358 364677812 414862832 498750537 547016718 622294248 665000716 729355624 997501074 1094033436 1244588496 1330001432 1458711248 1995002148 2188066872 2660002864 2826253043 3990004296 4376133744 5652506086 7980008592 8478759129 11305012172 16957518258 22610024344 33915036516 45220048688 67830073032 135660146064