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134127072 = 25323741307
BaseRepresentation
bin1111111111010…
…01110111100000
3100100101100202100
413333221313200
5233314031242
621150450400
73216030012
oct777516740
9310340670
10134127072
1169790722
1238b03a00
1321a32141
1413b561b2
15bb9654c
hex7fe9de0

134127072 has 144 divisors (see below), whose sum is σ = 402594192. Its totient is φ = 42301440.

The previous prime is 134127029. The next prime is 134127079. The reversal of 134127072 is 270721431.

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 not an unprimeable number, because it can be changed into a prime (134127079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 436743 + ... + 437049.

It is an arithmetic number, because the mean of its divisors is an integer number (2795793).

Almost surely, 2134127072 is an apocalyptic number.

134127072 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 134127072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201297096).

134127072 is an abundant number, since it is smaller than the sum of its proper divisors (268467120).

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

134127072 is a wasteful number, since it uses less digits than its factorization.

134127072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 134127072 is about 11581.3242766102. The cubic root of 134127072 is about 511.8846989714.

The spelling of 134127072 in words is "one hundred thirty-four million, one hundred twenty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 41 48 72 74 82 96 111 123 144 148 164 222 246 288 296 307 328 333 369 444 492 592 614 656 666 738 888 921 984 1184 1228 1312 1332 1476 1517 1776 1842 1968 2456 2664 2763 2952 3034 3552 3684 3936 4551 4912 5328 5526 5904 6068 7368 9102 9824 10656 11052 11359 11808 12136 12587 13653 14736 18204 22104 22718 24272 25174 27306 29472 34077 36408 37761 44208 45436 48544 50348 54612 68154 72816 75522 88416 90872 100696 102231 109224 113283 136308 145632 151044 181744 201392 204462 218448 226566 272616 302088 363488 402784 408924 436896 453132 465719 545232 604176 817848 906264 931438 1090464 1208352 1397157 1635696 1812528 1862876 2794314 3271392 3625056 3725752 4191471 5588628 7451504 8382942 11177256 14903008 16765884 22354512 33531768 44709024 67063536 134127072