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134952468 = 22372376203
BaseRepresentation
bin10000000101100…
…11011000010100
3100101221021222120
420002303120110
5234021434333
621220255540
73226035300
oct1002633024
9311837876
10134952468
116a1a4872
12392415b0
1321c60a41
1413cccd00
15bcaadb3
hex80b3614

134952468 has 72 divisors (see below), whose sum is σ = 376260192. Its totient is φ = 37509696.

The previous prime is 134952449. The next prime is 134952473. The reversal of 134952468 is 864259431.

It is a super-3 number, since 3×1349524683 (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18655 + ... + 24857.

It is an arithmetic number, because the mean of its divisors is an integer number (5225836).

Almost surely, 2134952468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134952468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188130096).

134952468 is an abundant number, since it is smaller than the sum of its proper divisors (241307724).

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

134952468 is a wasteful number, since it uses less digits than its factorization.

134952468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6261 (or 6252 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 134952468 is about 11616.9044069408. The cubic root of 134952468 is about 512.9325705825.

The spelling of 134952468 in words is "one hundred thirty-four million, nine hundred fifty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 49 74 84 98 111 147 148 196 222 259 294 444 518 588 777 1036 1554 1813 3108 3626 5439 6203 7252 10878 12406 18609 21756 24812 37218 43421 74436 86842 130263 173684 229511 260526 303947 459022 521052 607894 688533 911841 918044 1215788 1377066 1606577 1823682 2754132 3213154 3647364 4819731 6426308 9639462 11246039 19278924 22492078 33738117 44984156 67476234 134952468