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134150032 = 24194147229
BaseRepresentation
bin1111111111011…
…11011110010000
3100100102112020201
413333233132100
5233320300112
621151144544
73216153652
oct777573620
9310375221
10134150032
11697a69a5
1238b15154
1321a3c723
1413b606d2
15bb9d257
hex7fef790

134150032 has 80 divisors (see below), whose sum is σ = 287481600. Its totient is φ = 60410880.

The previous prime is 134149993. The next prime is 134150033. The reversal of 134150032 is 230051431.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 134149991 and 134150009.

It is not an unprimeable number, because it can be changed into a prime (134150033) 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, 585694 + ... + 585922.

It is an arithmetic number, because the mean of its divisors is an integer number (3593520).

Almost surely, 2134150032 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 134150032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143740800).

134150032 is an abundant number, since it is smaller than the sum of its proper divisors (153331568).

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

134150032 is a wasteful number, since it uses less digits than its factorization.

134150032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 134150032 is about 11582.3154852560. The cubic root of 134150032 is about 511.9139056084.

The spelling of 134150032 in words is "one hundred thirty-four million, one hundred fifty thousand, thirty-two".

Divisors: 1 2 4 8 16 19 38 41 47 76 82 94 152 164 188 229 304 328 376 458 656 752 779 893 916 1558 1786 1832 1927 3116 3572 3664 3854 4351 6232 7144 7708 8702 9389 10763 12464 14288 15416 17404 18778 21526 30832 34808 36613 37556 43052 69616 73226 75112 86104 146452 150224 172208 178391 204497 292904 356782 408994 441283 585808 713564 817988 882566 1427128 1635976 1765132 2854256 3271952 3530264 7060528 8384377 16768754 33537508 67075016 134150032