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134054160 = 24351134943
BaseRepresentation
bin1111111110110…
…00000100010000
3100100020122201220
413333120010100
5233304213120
621145125040
73215304312
oct777300420
9310218656
10134054160
1169740969
1238a89780
1321a07bb6
1413b377b2
15bb7eb40
hex7fd8110

134054160 has 80 divisors (see below), whose sum is σ = 419330304. Its totient is φ = 35424256.

The previous prime is 134054159. The next prime is 134054171. The reversal of 134054160 is 61450431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 134054160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24649 + ... + 29591.

Almost surely, 2134054160 is an apocalyptic number.

134054160 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 134054160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209665152).

134054160 is an abundant number, since it is smaller than the sum of its proper divisors (285276144).

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

134054160 is a wasteful number, since it uses less digits than its factorization.

134054160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5072 (or 5066 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 134054160 is about 11578.1760221548. The cubic root of 134054160 is about 511.7919279855.

The spelling of 134054160 in words is "one hundred thirty-four million, fifty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 113 120 226 240 339 452 565 678 904 1130 1356 1695 1808 2260 2712 3390 4520 4943 5424 6780 9040 9886 13560 14829 19772 24715 27120 29658 39544 49430 59316 74145 79088 98860 118632 148290 197720 237264 296580 395440 558559 593160 1117118 1186320 1675677 2234236 2792795 3351354 4468472 5585590 6702708 8378385 8936944 11171180 13405416 16756770 22342360 26810832 33513540 44684720 67027080 134054160