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135054541350 = 23352293449669
BaseRepresentation
bin111110111000111100…
…0001100001000100110
3110220121011221112212000
41331301320030020212
54203042430310400
6142013155310130
712520530442341
oct1756170141046
9426534845760
10135054541350
1152304849933
12222115ab346
13c97411b8c1
1467728c7458
1537a6990600
hex1f71e0c226

135054541350 has 96 divisors (see below), whose sum is σ = 384983172000. Its totient is φ = 34772653440.

The previous prime is 135054541333. The next prime is 135054541351. The reversal of 135054541350 is 53145450531.

135054541350 is a `hidden beast` number, since 1 + 3 + 50 + 545 + 4 + 13 + 50 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135054541351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1685685 + ... + 1763984.

It is an arithmetic number, because the mean of its divisors is an integer number (4010241375).

Almost surely, 2135054541350 is an apocalyptic number.

135054541350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135054541350 is an abundant number, since it is smaller than the sum of its proper divisors (249928630650).

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

135054541350 is a wasteful number, since it uses less digits than its factorization.

135054541350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3449719 (or 3449708 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 135054541350 its reverse (53145450531), we get a palindrome (188199991881).

It can be divided in two parts, 1350 and 54541350, that multiplied together give a square (73630822500 = 2713502).

The spelling of 135054541350 in words is "one hundred thirty-five billion, fifty-four million, five hundred forty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 29 30 45 50 54 58 75 87 90 135 145 150 174 225 261 270 290 435 450 522 675 725 783 870 1305 1350 1450 1566 2175 2610 3915 4350 6525 7830 13050 19575 39150 3449669 6899338 10349007 17248345 20698014 31047021 34496690 51745035 62094042 86241725 93141063 100040401 103490070 155235105 172483450 186282126 200080802 258725175 300121203 310470210 465705315 500202005 517450350 600242406 776175525 900363609 931410630 1000404010 1500606015 1552351050 1800727218 2328526575 2501010025 2701090827 3001212030 4501818045 4657053150 5002020050 5402181654 7503030075 9003636090 13505454135 15006060150 22509090225 27010908270 45018180450 67527270675 135054541350