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148512 = 25371317
BaseRepresentation
bin100100010000100000
321112201110
4210100200
514223022
63103320
71155660
oct442040
9245643
10148512
11a1641
1271b40
13527a0
143c1a0
152e00c
hex24420

148512 has 96 divisors (see below), whose sum is σ = 508032. Its totient is φ = 36864.

The previous prime is 148501. The next prime is 148513. The reversal of 148512 is 215841.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (148513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8728 + ... + 8744.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

2148512 is an apocalyptic number.

148512 is a gapful number since it is divisible by the number (12) 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 148512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254016).

148512 is an abundant number, since it is smaller than the sum of its proper divisors (359520).

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

148512 is a wasteful number, since it uses less digits than its factorization.

148512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 42 counting only the distinct ones).

The product of its digits is 320, while the sum is 21.

The square root of 148512 is about 385.3725470243. The cubic root of 148512 is about 52.9566513948.

The spelling of 148512 in words is "one hundred forty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 32 34 39 42 48 51 52 56 68 78 84 91 96 102 104 112 119 136 156 168 182 204 208 221 224 238 272 273 312 336 357 364 408 416 442 476 544 546 624 663 672 714 728 816 884 952 1092 1248 1326 1428 1456 1547 1632 1768 1904 2184 2652 2856 2912 3094 3536 3808 4368 4641 5304 5712 6188 7072 8736 9282 10608 11424 12376 18564 21216 24752 37128 49504 74256 148512