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134204544 = 2732971201
BaseRepresentation
bin1111111111111…
…00110010000000
3100100112022000200
413333330302000
5233324021134
621152245200
73216501615
oct777746200
9310468020
10134204544
1169833951
1238b40800
1321a5b496
1413b7650c
15bbae499
hex7ffcc80

134204544 has 96 divisors (see below), whose sum is σ = 390493740. Its totient is φ = 44236800.

The previous prime is 134204537. The next prime is 134204569. The reversal of 134204544 is 445402431.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 114062400 + 20142144 = 10680^2 + 4488^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111144 + ... + 112344.

Almost surely, 2134204544 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 134204544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195246870).

134204544 is an abundant number, since it is smaller than the sum of its proper divisors (256289196).

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

134204544 is a wasteful number, since it uses less digits than its factorization.

134204544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 134204544 is about 11584.6684889987. The cubic root of 134204544 is about 511.9832351281.

Adding to 134204544 its reverse (445402431), we get a palindrome (579606975).

The spelling of 134204544 in words is "one hundred thirty-four million, two hundred four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 128 144 192 194 288 291 384 388 576 582 776 873 1152 1164 1201 1552 1746 2328 2402 3104 3492 3603 4656 4804 6208 6984 7206 9312 9608 10809 12416 13968 14412 18624 19216 21618 27936 28824 37248 38432 43236 55872 57648 76864 86472 111744 115296 116497 153728 172944 230592 232994 345888 349491 461184 465988 691776 698982 931976 1048473 1383552 1397964 1863952 2096946 2795928 3727904 4193892 5591856 7455808 8387784 11183712 14911616 16775568 22367424 33551136 44734848 67102272 134204544