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134327616 = 2632412903
BaseRepresentation
bin10000000000110…
…10110101000000
3100100202112211220
420000122311000
5233341440431
621155035040
73220523463
oct1000326500
9310675756
10134327616
1169908365
1238b9ba80
1321aa24c7
1413ba92da
15bbd5b96
hex801ad40

134327616 has 56 divisors (see below), whose sum is σ = 357006144. Its totient is φ = 44574720.

The previous prime is 134327579. The next prime is 134327617. The reversal of 134327616 is 616723431.

134327616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134327617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44821 + ... + 47723.

Almost surely, 2134327616 is an apocalyptic number.

134327616 is a gapful number since it is divisible by the number (16) 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 134327616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178503072).

134327616 is an abundant number, since it is smaller than the sum of its proper divisors (222678528).

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

134327616 is a wasteful number, since it uses less digits than its factorization.

134327616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3159 (or 3149 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 134327616 is about 11589.9791199122. The cubic root of 134327616 is about 512.1396917014.

The spelling of 134327616 in words is "one hundred thirty-four million, three hundred twenty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 241 482 723 964 1446 1928 2892 2903 3856 5784 5806 7712 8709 11568 11612 15424 17418 23136 23224 34836 46272 46448 69672 92896 139344 185792 278688 557376 699623 1399246 2098869 2798492 4197738 5596984 8395476 11193968 16790952 22387936 33581904 44775872 67163808 134327616