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134744576 = 29892957
BaseRepresentation
bin10000000100000…
…00101000000000
3100101112201210212
420002000220000
5233443311301
621212013252
73224211221
oct1002005000
9311481725
10134744576
116a07265a
1239161228
1321bba225
1413c77248
15bc694bb
hex8080a00

134744576 has 40 divisors (see below), whose sum is σ = 272343060. Its totient is φ = 66592768.

The previous prime is 134744563. The next prime is 134744593. The reversal of 134744576 is 675447431.

It can be written as a sum of positive squares in 2 ways, for example, as 120121600 + 14622976 = 10960^2 + 3824^2 .

It is a super-2 number, since 2×1347445762 = 36312201522839552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44090 + ... + 47046.

Almost surely, 2134744576 is an apocalyptic number.

134744576 is a gapful number since it is divisible by the number (16) 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 134744576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136171530).

134744576 is an abundant number, since it is smaller than the sum of its proper divisors (137598484).

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

134744576 is an frugal number, since it uses more digits than its factorization.

134744576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064 (or 3048 counting only the distinct ones).

The product of its digits is 282240, while the sum is 41.

The square root of 134744576 is about 11607.9531356738. The cubic root of 134744576 is about 512.6690472282.

The spelling of 134744576 in words is "one hundred thirty-four million, seven hundred forty-four thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 512 712 1424 2848 2957 5696 5914 11392 11828 22784 23656 45568 47312 94624 189248 263173 378496 526346 756992 1052692 1513984 2105384 4210768 8421536 16843072 33686144 67372288 134744576