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134321616 = 243211213593
BaseRepresentation
bin10000000000110…
…01010111010000
3100100202020121200
420000121113100
5233341242431
621154551200
73220500132
oct1000312720
9310666550
10134321616
1169903900
1238b98500
1321a9c860
1413ba7052
15bbd3ee6
hex80195d0

134321616 has 180 divisors, whose sum is σ = 445729284. Its totient is φ = 37509120.

The previous prime is 134321609. The next prime is 134321651. The reversal of 134321616 is 616123431.

134321616 is a `hidden beast` number, since 1 + 3 + 43 + 2 + 1 + 616 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48944016 + 85377600 = 6996^2 + 9240^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 134321616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 226216 + ... + 226808.

Almost surely, 2134321616 is an apocalyptic number.

134321616 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 134321616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222864642).

134321616 is an abundant number, since it is smaller than the sum of its proper divisors (311407668).

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

134321616 is a wasteful number, since it uses less digits than its factorization.

134321616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 622 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 134321616 is about 11589.7202727244. The cubic root of 134321616 is about 512.1320663548.

The spelling of 134321616 in words is "one hundred thirty-four million, three hundred twenty-one thousand, six hundred sixteen".