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134375472 = 243271112119
BaseRepresentation
bin10000000001001…
…10100000110000
3100100211222111100
420000212200300
5233400003342
621200044400
73221113140
oct1000464060
9310758440
10134375472
1169940310
1239003700
1321abb21a
1413bbc920
15bbe4e4c
hex8026830

134375472 has 120 divisors (see below), whose sum is σ = 468898560. Its totient is φ = 34899840.

The previous prime is 134375471. The next prime is 134375489. The reversal of 134375472 is 274573431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (134375471) 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 23 ways as a sum of consecutive naturals, for example, 5029 + ... + 17147.

It is an arithmetic number, because the mean of its divisors is an integer number (3907488).

Almost surely, 2134375472 is an apocalyptic number.

134375472 is a gapful number since it is divisible by the number (12) 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 134375472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234449280).

134375472 is an abundant number, since it is smaller than the sum of its proper divisors (334523088).

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

134375472 is a wasteful number, since it uses less digits than its factorization.

134375472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12151 (or 12142 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 134375472 is about 11592.0434781793. The cubic root of 134375472 is about 512.2005033395.

The spelling of 134375472 in words is "one hundred thirty-four million, three hundred seventy-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 11088 12119 24238 36357 48476 72714 84833 96952 109071 133309 145428 169666 193904 218142 254499 266618 290856 339332 399927 436284 508998 533236 581712 678664 763497 799854 872568 933163 1017996 1066472 1199781 1357328 1526994 1599708 1745136 1866326 2035992 2132944 2399562 2799489 3053988 3199416 3732652 4071984 4799124 5598978 6107976 6398832 7465304 8398467 9598248 11197956 12215952 14930608 16796934 19196496 22395912 33593868 44791824 67187736 134375472