Search a number
-
+
134496 = 2532467
BaseRepresentation
bin100000110101100000
320211111100
4200311200
513300441
62514400
71100055
oct406540
9224440
10134496
119205a
1265a00
13492ab
143702c
1529cb6
hex20d60

134496 has 36 divisors (see below), whose sum is σ = 383292. Its totient is φ = 44736.

The previous prime is 134489. The next prime is 134503. The reversal of 134496 is 694431.

It is an interprime number because it is at equal distance from previous prime (134489) and next prime (134503).

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

134496 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 5 ways as a sum of consecutive naturals, for example, 55 + ... + 521.

It is an arithmetic number, because the mean of its divisors is an integer number (10647).

2134496 is an apocalyptic number.

134496 is a gapful number since it is divisible by the number (16) 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 134496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191646).

134496 is an abundant number, since it is smaller than the sum of its proper divisors (248796).

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

134496 is a wasteful number, since it uses less digits than its factorization.

134496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 472 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 134496 is about 366.7369629585. The cubic root of 134496 is about 51.2353596889.

It can be divided in two parts, 134 and 496, that added together give a triangular number (630 = T35).

The spelling of 134496 in words is "one hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 467 934 1401 1868 2802 3736 4203 5604 7472 8406 11208 14944 16812 22416 33624 44832 67248 134496