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134118624 = 2531397069
BaseRepresentation
bin1111111111001…
…11110011100000
3100100100221011110
413333213303200
5233313243444
621150343320
73215663253
oct777476340
9310327143
10134118624
1169785342
1238abab40
1321a2b343
1413b5309a
15bb93cb9
hex7fe7ce0

134118624 has 24 divisors (see below), whose sum is σ = 352061640. Its totient is φ = 44706176.

The previous prime is 134118619. The next prime is 134118641. The reversal of 134118624 is 426811431.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 134118591 and 134118600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 698439 + ... + 698630.

It is an arithmetic number, because the mean of its divisors is an integer number (14669235).

Almost surely, 2134118624 is an apocalyptic number.

It is an amenable number.

134118624 is an abundant number, since it is smaller than the sum of its proper divisors (217943016).

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

134118624 is a wasteful number, since it uses less digits than its factorization.

134118624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397082 (or 1397074 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 134118624 is about 11580.9595457371. The cubic root of 134118624 is about 511.8739517184.

The spelling of 134118624 in words is "one hundred thirty-four million, one hundred eighteen thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1397069 2794138 4191207 5588276 8382414 11176552 16764828 22353104 33529656 44706208 67059312 134118624