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134761968 = 24351123137
BaseRepresentation
bin10000000100001…
…00110111110000
3100101120121200000
420002010313300
5233444340333
621212230000
73224313015
oct1002046760
9311517600
10134761968
116a084730
123916b300
1321bc5113
1413c7d70c
15bc6e713
hex8084df0

134761968 has 240 divisors, whose sum is σ = 448471296. Its totient is φ = 38776320.

The previous prime is 134761937. The next prime is 134761981. The reversal of 134761968 is 869167431.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 983596 + ... + 983732.

Almost surely, 2134761968 is an apocalyptic number.

134761968 is a gapful number since it is divisible by the number (18) 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 134761968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224235648).

134761968 is an abundant number, since it is smaller than the sum of its proper divisors (313709328).

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

134761968 is a wasteful number, since it uses less digits than its factorization.

134761968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 176 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 134761968 is about 11608.7022530514. The cubic root of 134761968 is about 512.6911036670.

The spelling of 134761968 in words is "one hundred thirty-four million, seven hundred sixty-one thousand, nine hundred sixty-eight".