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134295968 = 2531331409
BaseRepresentation
bin10000000000100…
…11000110100000
3100100200221102202
420000103012200
5233334432333
621154232332
73220332302
oct1000230640
9310627382
10134295968
1169896604
1238b856a8
1321a90c91
1413b9b972
15bbcb5e8
hex80131a0

134295968 has 48 divisors (see below), whose sum is σ = 274417920. Its totient is φ = 64627200.

The previous prime is 134295961. The next prime is 134295979. The reversal of 134295968 is 869592431.

It is not an unprimeable number, because it can be changed into a prime (134295961) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 328148 + ... + 328556.

It is an arithmetic number, because the mean of its divisors is an integer number (5717040).

Almost surely, 2134295968 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 134295968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137208960).

134295968 is an abundant number, since it is smaller than the sum of its proper divisors (140121952).

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

134295968 is a wasteful number, since it uses less digits than its factorization.

134295968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 773 counting only the distinct ones).

The product of its digits is 466560, while the sum is 47.

The square root of 134295968 is about 11588.6137220981. The cubic root of 134295968 is about 512.0994679795.

The spelling of 134295968 in words is "one hundred thirty-four million, two hundred ninety-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 62 124 248 331 409 496 662 818 992 1324 1636 2648 3272 5296 6544 10261 10592 12679 13088 20522 25358 41044 50716 82088 101432 135379 164176 202864 270758 328352 405728 541516 1083032 2166064 4196749 4332128 8393498 16786996 33573992 67147984 134295968