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134748 = 223219197
BaseRepresentation
bin100000111001011100
320211211200
4200321130
513302443
62515500
71100565
oct407134
9224750
10134748
1192269
1265b90
1349443
143716c
1529dd3
hex20e5c

134748 has 36 divisors (see below), whose sum is σ = 360360. Its totient is φ = 42336.

The previous prime is 134741. The next prime is 134753. The reversal of 134748 is 847431.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134741) by changing a digit.

134748 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 11 ways as a sum of consecutive naturals, for example, 586 + ... + 782.

It is an arithmetic number, because the mean of its divisors is an integer number (10010).

2134748 is an apocalyptic number.

134748 is a gapful number since it is divisible by the number (18) 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 134748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180180).

134748 is an abundant number, since it is smaller than the sum of its proper divisors (225612).

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

134748 is a wasteful number, since it uses less digits than its factorization.

134748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 221 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 134748 is about 367.0803726706. The cubic root of 134748 is about 51.2673389676.

It can be divided in two parts, 13 and 4748, that added together give a square (4761 = 692).

The spelling of 134748 in words is "one hundred thirty-four thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 197 228 342 394 591 684 788 1182 1773 2364 3546 3743 7092 7486 11229 14972 22458 33687 44916 67374 134748