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135726702384 = 243713127244669
BaseRepresentation
bin111111001100111110…
…0010001111100110000
3110222100000201212110010
41332121330101330300
54210432013434014
6142204010134520
712543301635450
oct1763174217460
9428300655403
10135726702384
115261a204419
122237a721440
13ca50461820
1467d7c95d60
1537e59b4359
hex1f99f11f30

135726702384 has 160 divisors (see below), whose sum is σ = 434941050880. Its totient is φ = 35514049536.

The previous prime is 135726702367. The next prime is 135726702401. The reversal of 135726702384 is 483207627531.

It is an interprime number because it is at equal distance from previous prime (135726702367) and next prime (135726702401).

It is a super-2 number, since 2×1357267023842 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 432402 + ... + 677070.

It is an arithmetic number, because the mean of its divisors is an integer number (2718381568).

Almost surely, 2135726702384 is an apocalyptic number.

135726702384 is a gapful number since it is divisible by the number (14) 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 135726702384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217470525440).

135726702384 is an abundant number, since it is smaller than the sum of its proper divisors (299214348496).

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

135726702384 is a wasteful number, since it uses less digits than its factorization.

135726702384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244827 (or 244821 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 135726702384 in words is "one hundred thirty-five billion, seven hundred twenty-six million, seven hundred two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 127 156 168 182 208 254 273 312 336 364 381 508 546 624 728 762 889 1016 1092 1456 1524 1651 1778 2032 2184 2667 3048 3302 3556 4368 4953 5334 6096 6604 7112 9906 10668 11557 13208 14224 19812 21336 23114 26416 34671 39624 42672 46228 69342 79248 92456 138684 184912 244669 277368 489338 554736 734007 978676 1468014 1712683 1957352 2936028 3180697 3425366 3914704 5138049 5872056 6361394 6850732 9542091 10276098 11744112 12722788 13701464 19084182 20552196 22264879 25445576 27402928 31072963 38168364 41104392 44529758 50891152 62145926 66794637 76336728 82208784 89059516 93218889 124291852 133589274 152673456 178119032 186437778 217510741 248583704 267178548 356238064 372875556 403948519 435021482 497167408 534357096 652532223 745751112 807897038 870042964 1068714192 1211845557 1305064446 1491502224 1615794076 1740085928 2423691114 2610128892 2827639633 3231588152 3480171856 4847382228 5220257784 5655279266 6463176304 8482918899 9694764456 10440515568 11310558532 16965837798 19389528912 22621117064 33931675596 45242234128 67863351192 135726702384