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135261605424 = 243111217210499
BaseRepresentation
bin111110111111000111…
…0000100111000110000
3110221010121120111100210
41331332032010320300
54204003432333144
6142045513344120
712525623450601
oct1757616047060
9427117514323
10135261605424
1152400717170
122226aa08040
13c9a7caa31a
1467921c7da8
1537b9c42ab9
hex1f7e384e30

135261605424 has 80 divisors (see below), whose sum is σ = 381506832000. Its totient is φ = 40954490880.

The previous prime is 135261605363. The next prime is 135261605431. The reversal of 135261605424 is 424506162531.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537327 + ... + 747825.

It is an arithmetic number, because the mean of its divisors is an integer number (4768835400).

Almost surely, 2135261605424 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 135261605424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190753416000).

135261605424 is an abundant number, since it is smaller than the sum of its proper divisors (246245226576).

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

135261605424 is a wasteful number, since it uses less digits than its factorization.

135261605424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211738 (or 211732 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

Adding to 135261605424 its reverse (424506162531), we get a palindrome (559767767955).

The spelling of 135261605424 in words is "one hundred thirty-five billion, two hundred sixty-one million, six hundred five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1217 2434 3651 4868 7302 9736 13387 14604 19472 26774 29208 40161 53548 58416 80322 107096 160644 210499 214192 321288 420998 631497 642576 841996 1262994 1683992 2315489 2525988 3367984 4630978 5051976 6946467 9261956 10103952 13892934 18523912 27785868 37047824 55571736 111143472 256177283 512354566 768531849 1024709132 1537063698 2049418264 2817950113 3074127396 4098836528 5635900226 6148254792 8453850339 11271800452 12296509584 16907700678 22543600904 33815401356 45087201808 67630802712 135261605424