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133281370152 = 23327457578659
BaseRepresentation
bin111110000100000110…
…0000101000000101000
3110202000121102010020200
41330020030011000220
54140430012321102
6141121214152200
712425556645120
oct1741014050050
9422017363220
10133281370152
115158494a097
12219b77b2660
13c750963288
1466451d5c80
153700e8651c
hex1f08305028

133281370152 has 96 divisors (see below), whose sum is σ = 413440996800. Its totient is φ = 37996998912.

The previous prime is 133281370091. The next prime is 133281370199. The reversal of 133281370152 is 251073182331.

It is a happy number.

133281370152 is a `hidden beast` number, since 1 + 3 + 3 + 281 + 370 + 1 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59002 + ... + 519657.

It is an arithmetic number, because the mean of its divisors is an integer number (4306677050).

Almost surely, 2133281370152 is an apocalyptic number.

133281370152 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 133281370152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206720498400).

133281370152 is an abundant number, since it is smaller than the sum of its proper divisors (280159626648).

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

133281370152 is a wasteful number, since it uses less digits than its factorization.

133281370152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579135 (or 579128 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 133281370152 in words is "one hundred thirty-three billion, two hundred eighty-one million, three hundred seventy thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 457 504 914 1371 1828 2742 3199 3656 4113 5484 6398 8226 9597 10968 12796 16452 19194 25592 28791 32904 38388 57582 76776 115164 230328 578659 1157318 1735977 2314636 3471954 4050613 4629272 5207931 6943908 8101226 10415862 12151839 13887816 16202452 20831724 24303678 32404904 36455517 41663448 48607356 72911034 97214712 145822068 264447163 291644136 528894326 793341489 1057788652 1586682978 1851130141 2115577304 2380024467 3173365956 3702260282 4760048934 5553390423 6346731912 7404520564 9520097868 11106780846 14809041128 16660171269 19040195736 22213561692 33320342538 44427123384 66640685076 133281370152