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134125344 = 25323183181
BaseRepresentation
bin1111111111010…
…01011100100000
3100100101021101100
413333221130200
5233314002334
621150434400
73216021663
oct777513440
9310337340
10134125344
116978a3a1
1238b02a00
1321a31412
1413b556da
15bb95c99
hex7fe9720

134125344 has 144 divisors (see below), whose sum is σ = 400667904. Its totient is φ = 42508800.

The previous prime is 134125307. The next prime is 134125363. The reversal of 134125344 is 443521431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 740934 + ... + 741114.

It is an arithmetic number, because the mean of its divisors is an integer number (2782416).

Almost surely, 2134125344 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 134125344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200333952).

134125344 is an abundant number, since it is smaller than the sum of its proper divisors (266542560).

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

134125344 is a wasteful number, since it uses less digits than its factorization.

134125344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 300 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 134125344 is about 11581.2496735024. The cubic root of 134125344 is about 511.8825007063.

Adding to 134125344 its reverse (443521431), we get a palindrome (577646775).

The spelling of 134125344 in words is "one hundred thirty-four million, one hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 83 93 96 124 144 166 181 186 248 249 279 288 332 362 372 496 498 543 558 664 724 744 747 992 996 1086 1116 1328 1448 1488 1494 1629 1992 2172 2232 2573 2656 2896 2976 2988 3258 3984 4344 4464 5146 5611 5792 5976 6516 7719 7968 8688 8928 10292 11222 11952 13032 15023 15438 16833 17376 20584 22444 23157 23904 26064 30046 30876 33666 41168 44888 45069 46314 50499 52128 60092 61752 67332 82336 89776 90138 92628 100998 120184 123504 134664 135207 179552 180276 185256 201996 240368 247008 269328 270414 360552 370512 403992 465713 480736 538656 540828 721104 741024 807984 931426 1081656 1397139 1442208 1615968 1862852 2163312 2794278 3725704 4191417 4326624 5588556 7451408 8382834 11177112 14902816 16765668 22354224 33531336 44708448 67062672 134125344