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135867573344 = 2529243137857
BaseRepresentation
bin111111010001001010…
…1101010010001100000
3110222200211210212002002
41332202111222101200
54211224044321334
6142230001343132
712546632214116
oct1764225522140
9428624725062
10135867573344
11526917808a8
12223b9937aa8
13ca736b5419
14680c885ab6
15380303db7e
hex1fa256a460

135867573344 has 144 divisors (see below), whose sum is σ = 285876038448. Its totient is φ = 63524020224.

The previous prime is 135867573341. The next prime is 135867573353. The reversal of 135867573344 is 443375768531.

It is a self number, because there is not a number n which added to its sum of digits gives 135867573344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135867573341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158538164 + ... + 158539020.

It is an arithmetic number, because the mean of its divisors is an integer number (1985250267).

Almost surely, 2135867573344 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 135867573344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142938019224).

135867573344 is an abundant number, since it is smaller than the sum of its proper divisors (150008465104).

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

135867573344 is a wasteful number, since it uses less digits than its factorization.

135867573344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1068 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 56.

The spelling of 135867573344 in words is "one hundred thirty-five billion, eight hundred sixty-seven million, five hundred seventy-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 32 43 58 86 116 137 172 232 274 344 464 548 688 841 857 928 1096 1247 1376 1682 1714 2192 2494 3364 3428 3973 4384 4988 5891 6728 6856 7946 9976 11782 13456 13712 15892 19952 23564 24853 26912 27424 31784 36163 36851 39904 47128 49706 63568 72326 73702 94256 99412 115217 117409 127136 144652 147404 170839 188512 198824 230434 234818 289304 294808 341678 397648 460868 469636 578608 589616 683356 720737 795296 921736 939272 1068679 1157216 1179232 1366712 1441474 1843472 1878544 2137358 2733424 2882948 3404861 3686944 3757088 4274716 4954331 5048587 5466848 5765896 6809722 8549432 9908662 10097174 11531792 13619444 17098864 19817324 20194348 23063584 27238888 30991691 34197728 39634648 40388696 54477776 61983382 79269296 80777392 98740969 108955552 123966764 146409023 158538592 161554784 197481938 247933528 292818046 394963876 495867056 585636092 789927752 991734112 1171272184 1579855504 2342544368 3159711008 4245861667 4685088736 8491723334 16983446668 33966893336 67933786672 135867573344