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134057120 = 2552273691
BaseRepresentation
bin1111111110110…
…00110010100000
3100100020210210112
413333120302200
5233304311440
621145150452
73215316041
oct777306240
9310223715
10134057120
116974310a
1238a8b428
1321a09352
1413b388c8
15bb80965
hex7fd8ca0

134057120 has 48 divisors (see below), whose sum is σ = 318191328. Its totient is φ = 53372160.

The previous prime is 134057093. The next prime is 134057129. The reversal of 134057120 is 21750431.

It is a super-2 number, since 2×1340571202 = 35942622845388800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134057129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34475 + ... + 38165.

It is an arithmetic number, because the mean of its divisors is an integer number (6628986).

Almost surely, 2134057120 is an apocalyptic number.

134057120 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 134057120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159095664).

134057120 is an abundant number, since it is smaller than the sum of its proper divisors (184134208).

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

134057120 is a wasteful number, since it uses less digits than its factorization.

134057120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3933 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 134057120 is about 11578.3038481463. The cubic root of 134057120 is about 511.7956948534.

The spelling of 134057120 in words is "one hundred thirty-four million, fifty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 227 454 908 1135 1816 2270 3632 3691 4540 7264 7382 9080 14764 18160 18455 29528 36320 36910 59056 73820 118112 147640 295280 590560 837857 1675714 3351428 4189285 6702856 8378570 13405712 16757140 26811424 33514280 67028560 134057120