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135564137730 = 235577969673
BaseRepresentation
bin111111001000001000…
…0001001010100000010
3110221220200211201200000
41332100100021110002
54210113404401410
6142135521540430
712536256105150
oct1762020112402
9427820751600
10135564137730
115254647016a
12223341a4716
13ca25883918
1467c045a3d0
1537d65a1dc0
hex1f90409502

135564137730 has 96 divisors (see below), whose sum is σ = 417738432384. Its totient is φ = 30986084736.

The previous prime is 135564137729. The next prime is 135564137743. The reversal of 135564137730 is 37731465531.

135564137730 is a `hidden beast` number, since 1 + 3 + 5 + 564 + 13 + 7 + 73 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3967827 + ... + 4001846.

It is an arithmetic number, because the mean of its divisors is an integer number (4351442004).

Almost surely, 2135564137730 is an apocalyptic number.

135564137730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135564137730 is an abundant number, since it is smaller than the sum of its proper divisors (282174294654).

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

135564137730 is an equidigital number, since it uses as much as digits as its factorization.

135564137730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7969702 (or 7969690 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 135564137730 in words is "one hundred thirty-five billion, five hundred sixty-four million, one hundred thirty-seven thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 243 270 315 378 405 486 567 630 810 945 1134 1215 1701 1890 2430 2835 3402 5670 8505 17010 7969673 15939346 23909019 39848365 47818038 55787711 71727057 79696730 111575422 119545095 143454114 167363133 215181171 239090190 278938555 334726266 358635285 430362342 502089399 557877110 645543513 717270570 836815665 1004178798 1075905855 1291087026 1506268197 1673631330 1936630539 2151811710 2510446995 3012536394 3227717565 3873261078 4518804591 5020893990 6455435130 7531340985 9037609182 9683152695 13556413773 15062681970 19366305390 22594022955 27112827546 45188045910 67782068865 135564137730