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135166240216 = 2375954175619
BaseRepresentation
bin111110111100010001…
…0010010010111011000
3110220212222010102220001
41331320202102113120
54203310024141331
6142032225342344
712523355041120
oct1757042222730
9426788112801
10135166240216
1152361900947
1222242a979b4
13c9912ca2c7
146783681c80
1537b16a6561
hex1f788925d8

135166240216 has 64 divisors (see below), whose sum is σ = 295099488000. Its totient is φ = 56840538240.

The previous prime is 135166240211. The next prime is 135166240229. The reversal of 135166240216 is 612042661531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135166240211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1749655 + ... + 1825273.

It is an arithmetic number, because the mean of its divisors is an integer number (4610929500).

Almost surely, 2135166240216 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 135166240216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147549744000).

135166240216 is an abundant number, since it is smaller than the sum of its proper divisors (159933247784).

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

135166240216 is a wasteful number, since it uses less digits than its factorization.

135166240216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76232 (or 76228 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 135166240216 in words is "one hundred thirty-five billion, one hundred sixty-six million, two hundred forty thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 56 59 118 236 413 472 541 826 1082 1652 2164 3304 3787 4328 7574 15148 30296 31919 63838 75619 127676 151238 223433 255352 302476 446866 529333 604952 893732 1058666 1787464 2117332 4234664 4461521 8923042 17846084 31230647 35692168 40909879 62461294 81819758 124922588 163639516 249845176 286369153 327279032 572738306 1145476612 2290953224 2413682861 4827365722 9654731444 16895780027 19309462888 33791560054 67583120108 135166240216