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135305014152 = 233711139526741
BaseRepresentation
bin111111000000011001…
…1101010101110001000
3110221020122020212221110
41332000303222232020
54204101040423102
6142054104010320
712526661433630
oct1760063525610
9427218225843
10135305014152
1152423175850
12222814609a0
13c9b3c98569
146797c876c0
1537bd96986c
hex1f80ceab88

135305014152 has 128 divisors (see below), whose sum is σ = 424764748800. Its totient is φ = 34891257600.

The previous prime is 135305014139. The next prime is 135305014153. The reversal of 135305014152 is 251410503531.

It is not an unprimeable number, because it can be changed into a prime (135305014153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6499 + ... + 520242.

It is an arithmetic number, because the mean of its divisors is an integer number (3318474600).

Almost surely, 2135305014152 is an apocalyptic number.

135305014152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135305014152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212382374400).

135305014152 is an abundant number, since it is smaller than the sum of its proper divisors (289459734648).

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

135305014152 is a wasteful number, since it uses less digits than its factorization.

135305014152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526907 (or 526903 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 135305014152 its reverse (251410503531), we get a palindrome (386715517683).

The spelling of 135305014152 in words is "one hundred thirty-five billion, three hundred five million, fourteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 139 154 168 231 264 278 308 417 462 556 616 834 924 973 1112 1529 1668 1848 1946 2919 3058 3336 3892 4587 5838 6116 7784 9174 10703 11676 12232 18348 21406 23352 32109 36696 42812 64218 85624 128436 256872 526741 1053482 1580223 2106964 3160446 3687187 4213928 5794151 6320892 7374374 11061561 11588302 12641784 14748748 17382453 22123122 23176604 29497496 34764906 40559057 44246244 46353208 69529812 73216999 81118114 88492488 121677171 139059624 146433998 162236228 219650997 243354342 292867996 324472456 439301994 486708684 512518993 585735992 805386989 878603988 973417368 1025037986 1537556979 1610773978 1757207976 2050075972 2416160967 3075113958 3221547956 4100151944 4832321934 5637708923 6150227916 6443095912 9664643868 11275417846 12300455832 16913126769 19329287736 22550835692 33826253538 45101671384 67652507076 135305014152