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135146763248 = 2473183468973
BaseRepresentation
bin111110111011101011…
…1111111001111110000
3110220211121110220111212
41331313113333033300
54203240032410443
6142030252055252
712523030351010
oct1756727771760
9426747426455
10135146763248
1152351908582
1222238464528
13c98a26ac83
146780c51c40
1537aeb0a618
hex1f775ff3f0

135146763248 has 80 divisors (see below), whose sum is σ = 312629323776. Its totient is φ = 55376213760.

The previous prime is 135146763247. The next prime is 135146763253. The reversal of 135146763248 is 842367641531.

It is a junction number, because it is equal to n+sod(n) for n = 135146763196 and 135146763205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135146763247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53690 + ... + 522662.

Almost surely, 2135146763248 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 135146763248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156314661888).

135146763248 is an abundant number, since it is smaller than the sum of its proper divisors (177482560528).

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

135146763248 is a wasteful number, since it uses less digits than its factorization.

135146763248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469102 (or 469096 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 50.

The spelling of 135146763248 in words is "one hundred thirty-five billion, one hundred forty-six million, seven hundred sixty-three thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 83 112 124 166 217 248 332 434 496 581 664 868 1162 1328 1736 2324 2573 3472 4648 5146 9296 10292 18011 20584 36022 41168 72044 144088 288176 468973 937946 1875892 3282811 3751784 6565622 7503568 13131244 14538163 26262488 29076326 38924759 52524976 58152652 77849518 101767141 116305304 155699036 203534282 232610608 272473313 311398072 407068564 544946626 622796144 814137128 1089893252 1206667529 1628274256 2179786504 2413335058 4359573008 4826670116 8446672703 9653340232 16893345406 19306680464 33786690812 67573381624 135146763248