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134175160 = 23572272111
BaseRepresentation
bin1111111111101…
…01100110111000
3100100110210201101
413333311212320
5233322101120
621151501144
73216320140
oct777654670
9310423641
10134175160
1169813869
1238b277b4
1321a4acb2
1413b69920
15bba590a
hex7ff59b8

134175160 has 64 divisors (see below), whose sum is σ = 346705920. Its totient is φ = 45778560.

The previous prime is 134175143. The next prime is 134175191. The reversal of 134175160 is 61571431.

It is a super-2 number, since 2×1341751602 = 36005947122051200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62505 + ... + 64615.

It is an arithmetic number, because the mean of its divisors is an integer number (5417280).

Almost surely, 2134175160 is an apocalyptic number.

134175160 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 134175160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173352960).

134175160 is an abundant number, since it is smaller than the sum of its proper divisors (212530760).

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

134175160 is a wasteful number, since it uses less digits than its factorization.

134175160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 134175160 is about 11583.4001916536. The cubic root of 134175160 is about 511.9458662656.

The spelling of 134175160 in words is "one hundred thirty-four million, one hundred seventy-five thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 227 280 454 908 1135 1589 1816 2111 2270 3178 4222 4540 6356 7945 8444 9080 10555 12712 14777 15890 16888 21110 29554 31780 42220 59108 63560 73885 84440 118216 147770 295540 479197 591080 958394 1916788 2395985 3354379 3833576 4791970 6708758 9583940 13417516 16771895 19167880 26835032 33543790 67087580 134175160