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135623100460540 = 225711125697006679
BaseRepresentation
bin11110110101100100110110…
…101110011110110111111100
3122210012102221001120110012211
4132311210312232132313330
5120234022102204214130
61200240220415510204
740365305601042250
oct3665446656366774
9583172831513184
10135623100460540
113a239485583190
12132647b9b28364
135a8a28510b0c4
14256c29bb88260
1510a2d04b8da2a
hex7b5936b9edfc

135623100460540 has 96 divisors (see below), whose sum is σ = 355114237363200. Its totient is φ = 42268765969920.

The previous prime is 135623100460493. The next prime is 135623100460579. The reversal of 135623100460540 is 45064001326531.

It is a junction number, because it is equal to n+sod(n) for n = 135623100460493 and 135623100460502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15852921 + ... + 22859599.

It is an arithmetic number, because the mean of its divisors is an integer number (3699106639200).

Almost surely, 2135623100460540 is an apocalyptic number.

135623100460540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135623100460540 is an abundant number, since it is smaller than the sum of its proper divisors (219491136902660).

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

135623100460540 is a wasteful number, since it uses less digits than its factorization.

135623100460540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7019275 (or 7019273 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 135623100460540 in words is "one hundred thirty-five trillion, six hundred twenty-three billion, one hundred million, four hundred sixty thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 12569 25138 50276 62845 87983 125690 138259 175966 251380 276518 351932 439915 553036 691295 879830 967813 1382590 1759660 1935626 2765180 3871252 4839065 7006679 9678130 14013358 19356260 28026716 35033395 49046753 70066790 77073469 98093506 140133580 154146938 196187012 245233765 308293876 385367345 490467530 539514283 770734690 980935060 1079028566 1541469380 2158057132 2697571415 5395142830 10790285660 88066948351 176133896702 352267793404 440334741755 616468638457 880669483510 968736431861 1232937276914 1761338967020 1937472863722 2465874553828 3082343192285 3874945727444 4843682159305 6164686384570 6781155023027 9687364318610 12329372769140 13562310046054 19374728637220 27124620092108 33905775115135 67811550230270 135623100460540