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135230700528 = 24337114065377
BaseRepresentation
bin111110111110001100…
…0001011101111110000
3110221001110102100211000
41331330120023233300
54203423024404103
6142042451122000
712525066663060
oct1757430135760
9427043370730
10135230700528
1152395228930
12222605a3300
13c9a17794c1
14678c0613a0
1537b718aaa3
hex1f7c60bbf0

135230700528 has 160 divisors (see below), whose sum is σ = 483942597120. Its totient is φ = 35124848640.

The previous prime is 135230700419. The next prime is 135230700533. The reversal of 135230700528 is 825007032531.

It is a happy number.

135230700528 is a `hidden beast` number, since 1 + 35 + 2 + 30 + 70 + 0 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135230700492 and 135230700501.

It is a congruent number.

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, 1999425 + ... + 2065952.

It is an arithmetic number, because the mean of its divisors is an integer number (3024641232).

Almost surely, 2135230700528 is an apocalyptic number.

135230700528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135230700528 is an abundant number, since it is smaller than the sum of its proper divisors (348711896592).

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

135230700528 is a wasteful number, since it uses less digits than its factorization.

135230700528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4065412 (or 4065400 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 135230700528 in words is "one hundred thirty-five billion, two hundred thirty million, seven hundred thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1584 1848 2079 2376 2772 3024 3696 4158 4752 5544 8316 11088 16632 33264 4065377 8130754 12196131 16261508 24392262 28457639 32523016 36588393 44719147 48784524 56915278 65046032 73176786 85372917 89438294 97569048 109765179 113830556 134157441 146353572 170745834 178876588 195138096 219530358 227661112 256118751 268314882 292707144 313034029 341491668 357753176 402472323 439060716 455322224 512237502 536629764 585414288 626068058 682983336 715506352 768356253 804944646 878121432 939102087 1024475004 1073259528 1207416969 1252136116 1365966672 1536712506 1609889292 1756242864 1878204174 2048950008 2146519056 2414833938 2504272232 2817306261 3073425012 3219778584 3756408348 4097900016 4829667876 5008544464 5634612522 6146850024 6439557168 7512816696 8451918783 9659335752 11269225044 12293700048 15025633392 16903837566 19318671504 22538450088 33807675132 45076900176 67615350264 135230700528