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134735540 = 22517537477
BaseRepresentation
bin10000000011111…
…10011010110100
3100101112021102012
420001332122310
5233443014130
621211503352
73224142662
oct1001763264
9311467365
10134735540
116a066895
1239157b58
1321bb6094
1413c73c32
15bc66995
hex807e6b4

134735540 has 48 divisors (see below), whose sum is σ = 305281872. Its totient is φ = 49760256.

The previous prime is 134735539. The next prime is 134735543. The reversal of 134735540 is 45537431.

It can be written as a sum of positive squares in 8 ways, for example, as 28686736 + 106048804 = 5356^2 + 10298^2 .

It is a junction number, because it is equal to n+sod(n) for n = 134735497 and 134735506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134735543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14282 + ... + 21758.

It is an arithmetic number, because the mean of its divisors is an integer number (6360039).

Almost surely, 2134735540 is an apocalyptic number.

134735540 is a gapful number since it is divisible by the number (10) 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 134735540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152640936).

134735540 is an abundant number, since it is smaller than the sum of its proper divisors (170546332).

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

134735540 is a wasteful number, since it uses less digits than its factorization.

134735540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7556 (or 7554 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 134735540 is about 11607.5639132421. The cubic root of 134735540 is about 512.6575870735.

The spelling of 134735540 in words is "one hundred thirty-four million, seven hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 340 530 901 1060 1802 3604 4505 7477 9010 14954 18020 29908 37385 74770 127109 149540 254218 396281 508436 635545 792562 1271090 1585124 1981405 2542180 3962810 6736777 7925620 13473554 26947108 33683885 67367770 134735540