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134723808 = 25323747269
BaseRepresentation
bin10000000011110…
…11100011100000
3100101111200022200
420001323203200
5233442130213
621211333200
73224063532
oct1001734340
9311450280
10134723808
116a058a9a
1239151200
1321bb093b
1413c6d852
15bc63273
hex807b8e0

134723808 has 144 divisors (see below), whose sum is σ = 403341120. Its totient is φ = 42605568.

The previous prime is 134723779. The next prime is 134723887. The reversal of 134723808 is 808327431.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 500698 + ... + 500966.

It is an arithmetic number, because the mean of its divisors is an integer number (2800980).

Almost surely, 2134723808 is an apocalyptic number.

134723808 is a gapful number since it is divisible by the number (18) 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 134723808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201670560).

134723808 is an abundant number, since it is smaller than the sum of its proper divisors (268617312).

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

134723808 is a wasteful number, since it uses less digits than its factorization.

134723808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 134723808 is about 11607.0585421113. The cubic root of 134723808 is about 512.6427068783.

It can be divided in two parts, 134723 and 808, that added together give a palindrome (135531).

The spelling of 134723808 in words is "one hundred thirty-four million, seven hundred twenty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 47 48 72 74 94 96 111 141 144 148 188 222 269 282 288 296 333 376 423 444 538 564 592 666 752 807 846 888 1076 1128 1184 1332 1504 1614 1692 1739 1776 2152 2256 2421 2664 3228 3384 3478 3552 4304 4512 4842 5217 5328 6456 6768 6956 8608 9684 9953 10434 10656 12643 12912 13536 13912 15651 19368 19906 20868 25286 25824 27824 29859 31302 37929 38736 39812 41736 50572 55648 59718 62604 75858 77472 79624 83472 89577 101144 113787 119436 125208 151716 159248 166944 179154 202288 227574 238872 250416 303432 318496 358308 404576 455148 467791 477744 500832 606864 716616 910296 935582 955488 1213728 1403373 1433232 1820592 1871164 2806746 2866464 3641184 3742328 4210119 5613492 7484656 8420238 11226984 14969312 16840476 22453968 33680952 44907936 67361904 134723808