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134325120 = 2735431627
BaseRepresentation
bin10000000000110…
…10001110000000
3100100202102102110
420000122032000
5233341400440
621155015320
73220513266
oct1000321600
9310672373
10134325120
11699064a6
1238b9a540
1321aa1327
1413ba8436
15bbd5080
hex801a380

134325120 has 128 divisors (see below), whose sum is σ = 438387840. Its totient is φ = 34965504.

The previous prime is 134325091. The next prime is 134325127. The reversal of 134325120 is 21523431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134325127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81747 + ... + 83373.

It is an arithmetic number, because the mean of its divisors is an integer number (3424905).

Almost surely, 2134325120 is an apocalyptic number.

134325120 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 134325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219193920).

134325120 is an abundant number, since it is smaller than the sum of its proper divisors (304062720).

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

134325120 is a wasteful number, since it uses less digits than its factorization.

134325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 134325120 is about 11589.8714401843. The cubic root of 134325120 is about 512.1365195848.

Adding to 134325120 its reverse (21523431), we get a palindrome (155848551).

The spelling of 134325120 in words is "one hundred thirty-four million, three hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 128 129 160 172 192 215 240 258 320 344 384 430 480 516 640 645 688 860 960 1032 1290 1376 1627 1720 1920 2064 2580 2752 3254 3440 4128 4881 5160 5504 6508 6880 8135 8256 9762 10320 13016 13760 16270 16512 19524 20640 24405 26032 27520 32540 39048 41280 48810 52064 65080 69961 78096 82560 97620 104128 130160 139922 156192 195240 208256 209883 260320 279844 312384 349805 390480 419766 520640 559688 624768 699610 780960 839532 1041280 1049415 1119376 1399220 1561920 1679064 2098830 2238752 2798440 3123840 3358128 4197660 4477504 5596880 6716256 8395320 8955008 11193760 13432512 16790640 22387520 26865024 33581280 44775040 67162560 134325120