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133145155264 = 26112101170231
BaseRepresentation
bin111110000000000010…
…0011101011011000000
3110201200010002200112211
41330000010131123000
54140140124432024
6141055510431504
712422314101142
oct1740004353300
9421603080484
10133145155264
1151514a72900
122197a062594
13c72b67ca54
146631098c92
1536e402b594
hex1f0011d6c0

133145155264 has 84 divisors (see below), whose sum is σ = 293289648624. Its totient is φ = 59920960000.

The previous prime is 133145155259. The next prime is 133145155271. The reversal of 133145155264 is 462551541331.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 697029 + ... + 867259.

It is an arithmetic number, because the mean of its divisors is an integer number (3491543436).

Almost surely, 2133145155264 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 133145155264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146644824312).

133145155264 is an abundant number, since it is smaller than the sum of its proper divisors (160144493360).

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

133145155264 is a wasteful number, since it uses less digits than its factorization.

133145155264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170366 (or 170345 counting only the distinct ones).

The product of its digits is 216000, while the sum is 40.

Adding to 133145155264 its reverse (462551541331), we get a palindrome (595696696595).

The spelling of 133145155264 in words is "one hundred thirty-three billion, one hundred forty-five million, one hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 121 176 202 242 352 404 484 704 808 968 1111 1616 1936 2222 3232 3872 4444 6464 7744 8888 12221 17776 24442 35552 48884 71104 97768 170231 195536 340462 391072 680924 782144 1361848 1872541 2723696 3745082 5447392 7490164 10894784 14980328 17193331 20597951 29960656 34386662 41195902 59921312 68773324 82391804 119842624 137546648 164783608 189126641 275093296 329567216 378253282 550186592 659134432 756506564 1100373184 1318268864 1513013128 2080393051 3026026256 4160786102 6052052512 8321572204 12104105024 16643144408 33286288816 66572577632 133145155264