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134244768 = 25371071867
BaseRepresentation
bin10000000000001…
…10100110100000
3100100121100012110
420000012212200
5233331313033
621153155320
73220030110
oct1000064640
9310540173
10134244768
1169861099
1238b5bb40
1321a73898
1413b87040
15bbbb363
hex80069a0

134244768 has 96 divisors (see below), whose sum is σ = 406715904. Its totient is φ = 37976832.

The previous prime is 134244757. The next prime is 134244797. The reversal of 134244768 is 867442431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70971 + ... + 72837.

It is an arithmetic number, because the mean of its divisors is an integer number (4236624).

Almost surely, 2134244768 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 134244768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203357952).

134244768 is an abundant number, since it is smaller than the sum of its proper divisors (272471136).

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

134244768 is a wasteful number, since it uses less digits than its factorization.

134244768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1986 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 134244768 is about 11586.4044465917. The cubic root of 134244768 is about 512.0343808293.

The spelling of 134244768 in words is "one hundred thirty-four million, two hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 107 112 168 214 224 321 336 428 642 672 749 856 1284 1498 1712 1867 2247 2568 2996 3424 3734 4494 5136 5601 5992 7468 8988 10272 11202 11984 13069 14936 17976 22404 23968 26138 29872 35952 39207 44808 52276 59744 71904 78414 89616 104552 156828 179232 199769 209104 313656 399538 418208 599307 627312 799076 1198614 1254624 1398383 1598152 2397228 2796766 3196304 4195149 4794456 5593532 6392608 8390298 9588912 11187064 16780596 19177824 22374128 33561192 44748256 67122384 134244768