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134725032 = 2336131777
BaseRepresentation
bin10000000011110…
…11110110101000
3100101111202000000
420001323312220
5233442200112
621211343000
73224100231
oct1001736650
9311452000
10134725032
116a059a02
1239151a60
1321bb1370
1413c70088
15bc637dc
hex807bda8

134725032 has 112 divisors (see below), whose sum is σ = 408104340. Its totient is φ = 41430528.

The previous prime is 134725021. The next prime is 134725049. The reversal of 134725032 is 230527431.

It can be written as a sum of positive squares in 2 ways, for example, as 129823236 + 4901796 = 11394^2 + 2214^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 134724987 and 134725005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 74928 + ... + 76704.

Almost surely, 2134725032 is an apocalyptic number.

134725032 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 134725032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204052170).

134725032 is an abundant number, since it is smaller than the sum of its proper divisors (273379308).

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

134725032 is a wasteful number, since it uses less digits than its factorization.

134725032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 134725032 is about 11607.1112685284. Note that the first 3 decimals coincide. The cubic root of 134725032 is about 512.6442593700.

The spelling of 134725032 in words is "one hundred thirty-four million, seven hundred twenty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 729 936 972 1053 1404 1458 1777 1944 2106 2808 2916 3159 3554 4212 5331 5832 6318 7108 8424 9477 10662 12636 14216 15993 18954 21324 23101 25272 31986 37908 42648 46202 47979 63972 69303 75816 92404 95958 127944 138606 143937 184808 191916 207909 277212 287874 383832 415818 431811 554424 575748 623727 831636 863622 1151496 1247454 1295433 1663272 1727244 1871181 2494908 2590866 3454488 3742362 4989816 5181732 5613543 7484724 10363464 11227086 14969448 16840629 22454172 33681258 44908344 67362516 134725032