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134163624 = 23373732141
BaseRepresentation
bin1111111111100…
…10110010101000
3100100110012220010
413333302302220
5233321213444
621151331520
73216241410
oct777626250
9310405803
10134163624
1169806131
1238b20ba0
1321a4597a
1413b65640
15bba22b9
hex7ff2ca8

134163624 has 64 divisors (see below), whose sum is σ = 384531840. Its totient is φ = 38211840.

The previous prime is 134163619. The next prime is 134163647. The reversal of 134163624 is 426361431.

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

It is a junction number, because it is equal to n+sod(n) for n = 134163591 and 134163600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61594 + ... + 63734.

It is an arithmetic number, because the mean of its divisors is an integer number (6008310).

Almost surely, 2134163624 is an apocalyptic number.

134163624 is a gapful number since it is divisible by the number (14) 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 134163624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192265920).

134163624 is an abundant number, since it is smaller than the sum of its proper divisors (250368216).

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

134163624 is a wasteful number, since it uses less digits than its factorization.

134163624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 2526 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 134163624 is about 11582.9022269896. The cubic root of 134163624 is about 511.9311939602.

The spelling of 134163624 in words is "one hundred thirty-four million, one hundred sixty-three thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 373 746 1119 1492 2141 2238 2611 2984 4282 4476 5222 6423 7833 8564 8952 10444 12846 14987 15666 17128 20888 25692 29974 31332 44961 51384 59948 62664 89922 119896 179844 359688 798593 1597186 2395779 3194372 4791558 5590151 6388744 9583116 11180302 16770453 19166232 22360604 33540906 44721208 67081812 134163624