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134520 = 23351959
BaseRepresentation
bin100000110101111000
320211112020
4200311320
513301040
62514440
71100121
oct406570
9224466
10134520
1192081
1265a20
13492c9
1437048
1529cd0
hex20d78

134520 has 64 divisors (see below), whose sum is σ = 432000. Its totient is φ = 33408.

The previous prime is 134513. The next prime is 134581. The reversal of 134520 is 25431.

134520 = T159 + T160 + ... + T168.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 134520.

It is a congruent number.

It is an unprimeable number.

134520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2251 + ... + 2309.

It is an arithmetic number, because the mean of its divisors is an integer number (6750).

2134520 is an apocalyptic number.

134520 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 134520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216000).

134520 is an abundant number, since it is smaller than the sum of its proper divisors (297480).

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

134520 is a wasteful number, since it uses less digits than its factorization.

134520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 134520 is about 366.7696824984. The cubic root of 134520 is about 51.2384070546.

Adding to 134520 its reverse (25431), we get a palindrome (159951).

The spelling of 134520 in words is "one hundred thirty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 59 60 76 95 114 118 120 152 177 190 228 236 285 295 354 380 456 472 570 590 708 760 885 1121 1140 1180 1416 1770 2242 2280 2360 3363 3540 4484 5605 6726 7080 8968 11210 13452 16815 22420 26904 33630 44840 67260 134520