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134514072 = 2332711191277
BaseRepresentation
bin10000000010010…
…00010110011000
3100101010000121200
420001020112120
5233413422242
621203034200
73222231210
oct1001102630
9311100550
10134514072
1169a25460
123906b960
1321b39334
1413c17240
15bc2104c
hex8048598

134514072 has 192 divisors, whose sum is σ = 478483200. Its totient is φ = 33073920.

The previous prime is 134514067. The next prime is 134514077. The reversal of 134514072 is 270415431.

It is an interprime number because it is at equal distance from previous prime (134514067) and next prime (134514077).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134514077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104698 + ... + 105974.

It is an arithmetic number, because the mean of its divisors is an integer number (2492100).

Almost surely, 2134514072 is an apocalyptic number.

134514072 is a gapful number since it is divisible by the number (12) 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 134514072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239241600).

134514072 is an abundant number, since it is smaller than the sum of its proper divisors (343969128).

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

134514072 is a wasteful number, since it uses less digits than its factorization.

134514072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 134514072 is about 11598.0201758748. The cubic root of 134514072 is about 512.3765438899.

The spelling of 134514072 in words is "one hundred thirty-four million, five hundred fourteen thousand, seventy-two".