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134190 = 2335771
BaseRepresentation
bin100000110000101110
320211002000
4200300232
513243230
62513130
71066140
oct406056
9224060
10134190
1191901
12657a6
1349104
1436c90
1529b60
hex20c2e

134190 has 64 divisors (see below), whose sum is σ = 414720. Its totient is φ = 30240.

The previous prime is 134177. The next prime is 134191. The reversal of 134190 is 91431.

It is a super-2 number, since 2×1341902 = 36013912200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134191) by changing a digit.

134190 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1855 + ... + 1925.

It is an arithmetic number, because the mean of its divisors is an integer number (6480).

2134190 is an apocalyptic number.

134190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207360).

134190 is an abundant number, since it is smaller than the sum of its proper divisors (280530).

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

134190 is a wasteful number, since it uses less digits than its factorization.

134190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 134190 is about 366.3195326488. The cubic root of 134190 is about 51.1964739596.

It can be divided in two parts, 1341 and 90, that added together give a triangular number (1431 = T53).

The spelling of 134190 in words is "one hundred thirty-four thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 71 90 105 126 135 142 189 210 213 270 315 355 378 426 497 630 639 710 945 994 1065 1278 1491 1890 1917 2130 2485 2982 3195 3834 4473 4970 6390 7455 8946 9585 13419 14910 19170 22365 26838 44730 67095 134190