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134652816 = 24329672
BaseRepresentation
bin10000000011010…
…10001110010000
3100101101001221100
420001222032100
5233432342231
621210024400
73223346544
oct1001521620
9311331840
10134652816
116a00a721
1239118100
1321b8752c
1413c51a24
15bc4c1e6
hex806a390

134652816 has 45 divisors (see below), whose sum is σ = 377230971. Its totient is φ = 44837856.

The previous prime is 134652769. The next prime is 134652841. The reversal of 134652816 is 618256431.

It is a happy number.

The square root of 134652816 is 11604.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 138765 + ... + 139731.

Almost surely, 2134652816 is an apocalyptic number.

134652816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

134652816 is the 11604-th square number.

It is an amenable number.

134652816 is an abundant number, since it is smaller than the sum of its proper divisors (242578155).

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

134652816 is an frugal number, since it uses more digits than its factorization.

134652816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 972 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The cubic root of 134652816 is about 512.5526462673.

Multiplying 134652816 by its sum of digits (36), we get a square (4847501376 = 696242).

134652816 divided by its sum of digits (36) gives a square (3740356 = 19342).

The spelling of 134652816 in words is "one hundred thirty-four million, six hundred fifty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 967 1934 2901 3868 5802 7736 8703 11604 15472 17406 23208 34812 46416 69624 139248 935089 1870178 2805267 3740356 5610534 7480712 8415801 11221068 14961424 16831602 22442136 33663204 44884272 67326408 134652816