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134021120 = 2165409
BaseRepresentation
bin1111111110100…
…00000000000000
3100100011222102012
413333100000000
5233302133440
621144312052
73215106062
oct777200000
9310158365
10134021120
1169719062
1238a72628
13219c5b4c
1413b29732
15bb74e65
hex7fd0000

134021120 has 68 divisors (see below), whose sum is σ = 322434660. Its totient is φ = 53477376.

The previous prime is 134021101. The next prime is 134021143. The reversal of 134021120 is 21120431.

It can be written as a sum of positive squares in 2 ways, for example, as 89718784 + 44302336 = 9472^2 + 6656^2 .

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 134021095 and 134021104.

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, 327476 + ... + 327884.

Almost surely, 2134021120 is an apocalyptic number.

134021120 is a gapful number since it is divisible by the number (10) 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 134021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161217330).

134021120 is an abundant number, since it is smaller than the sum of its proper divisors (188413540).

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

134021120 is an frugal number, since it uses more digits than its factorization.

134021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 134021120 is about 11576.7491119053. The cubic root of 134021120 is about 511.7498778302.

Adding to 134021120 its reverse (21120431), we get a palindrome (155141551).

The spelling of 134021120 in words is "one hundred thirty-four million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 409 512 640 818 1024 1280 1636 2045 2048 2560 3272 4090 4096 5120 6544 8180 8192 10240 13088 16360 16384 20480 26176 32720 32768 40960 52352 65440 65536 81920 104704 130880 163840 209408 261760 327680 418816 523520 837632 1047040 1675264 2094080 3350528 4188160 6701056 8376320 13402112 16752640 26804224 33505280 67010560 134021120