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148356 = 223213317
BaseRepresentation
bin100100001110000100
321112111200
4210032010
514221411
63102500
71155345
oct441604
9245450
10148356
11a150a
1271a30
13526b0
143c0cc
152de56
hex24384

148356 has 36 divisors (see below), whose sum is σ = 405132. Its totient is φ = 45504.

The previous prime is 148339. The next prime is 148361. The reversal of 148356 is 653841.

It can be written as a sum of positive squares in 2 ways, for example, as 14400 + 133956 = 120^2 + 366^2 .

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 148356.

It is an unprimeable number.

148356 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, 310 + ... + 626.

2148356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202566).

148356 is an abundant number, since it is smaller than the sum of its proper divisors (256776).

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

148356 is a wasteful number, since it uses less digits than its factorization.

148356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 335 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 148356 is about 385.1700922969. The cubic root of 148356 is about 52.9381026538.

It can be divided in two parts, 14835 and 6, that added together give a palindrome (14841).

The spelling of 148356 in words is "one hundred forty-eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 317 468 634 951 1268 1902 2853 3804 4121 5706 8242 11412 12363 16484 24726 37089 49452 74178 148356