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134648448 = 27311127251
BaseRepresentation
bin10000000011010…
…01001010000000
3100101100211221120
420001221022000
5233432222243
621205552240
73223331034
oct1001511200
9311324846
10134648448
116a007410
1239115680
1321b8554c
1413c501c4
15bc4ac83
hex8069280

134648448 has 128 divisors (see below), whose sum is σ = 394813440. Its totient is φ = 40320000.

The previous prime is 134648431. The next prime is 134648471. The reversal of 134648448 is 844846431.

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

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

It is an unprimeable number.

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, 536323 + ... + 536573.

It is an arithmetic number, because the mean of its divisors is an integer number (3084480).

Almost surely, 2134648448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134648448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197406720).

134648448 is an abundant number, since it is smaller than the sum of its proper divisors (260164992).

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

134648448 is a wasteful number, since it uses less digits than its factorization.

134648448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 394 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 134648448 is about 11603.8117875119. The cubic root of 134648448 is about 512.5471039791.

It can be divided in two parts, 13464 and 8448, that added together give a palindrome (21912).

The spelling of 134648448 in words is "one hundred thirty-four million, six hundred forty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 127 128 132 176 192 251 254 264 352 381 384 502 508 528 704 753 762 1004 1016 1056 1397 1408 1506 1524 2008 2032 2112 2761 2794 3012 3048 4016 4064 4191 4224 5522 5588 6024 6096 8032 8128 8283 8382 11044 11176 12048 12192 16064 16256 16566 16764 22088 22352 24096 24384 31877 32128 33132 33528 44176 44704 48192 48768 63754 66264 67056 88352 89408 95631 96384 127508 132528 134112 176704 178816 191262 255016 265056 268224 350647 353408 382524 510032 530112 536448 701294 765048 1020064 1051941 1060224 1402588 1530096 2040128 2103882 2805176 3060192 4080256 4207764 5610352 6120384 8415528 11220704 12240768 16831056 22441408 33662112 44882816 67324224 134648448