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135498768 = 24331412221
BaseRepresentation
bin10000001001110…
…00110000010000
3100102222001100220
420010320300100
5234141430033
621240113040
73233502066
oct1004706020
9312861326
10135498768
116a538259
1239465780
13220c25b2
1413dd2036
15bd67bb3
hex8138c10

135498768 has 80 divisors (see below), whose sum is σ = 370309632. Its totient is φ = 42624000.

The previous prime is 135498739. The next prime is 135498787. The reversal of 135498768 is 867894531.

It is a super-2 number, since 2×1354987682 = 36719832259035648, which contains 22 as substring.

Its product of digits (1451520) is a multiple of the sum of its prime factors (2304).

It is a self number, because there is not a number n which added to its sum of digits gives 135498768.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59898 + ... + 62118.

Almost surely, 2135498768 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 135498768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185154816).

135498768 is an abundant number, since it is smaller than the sum of its proper divisors (234810864).

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

135498768 is a wasteful number, since it uses less digits than its factorization.

135498768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2298 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 135498768 is about 11640.3938077713. The cubic root of 135498768 is about 513.6237714757.

The spelling of 135498768 in words is "one hundred thirty-five million, four hundred ninety-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 41 48 62 82 93 123 124 164 186 246 248 328 372 492 496 656 744 984 1271 1488 1968 2221 2542 3813 4442 5084 6663 7626 8884 10168 13326 15252 17768 20336 26652 30504 35536 53304 61008 68851 91061 106608 137702 182122 206553 273183 275404 364244 413106 546366 550808 728488 826212 1092732 1101616 1456976 1652424 2185464 2822891 3304848 4370928 5645782 8468673 11291564 16937346 22583128 33874692 45166256 67749384 135498768