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148764 = 223721123
BaseRepresentation
bin100100010100011100
321120001210
4210110130
514230024
63104420
71156500
oct442434
9246053
10148764
11a1850
1272110
1352935
143c300
152e129
hex2451c

148764 has 72 divisors (see below), whose sum is σ = 459648. Its totient is φ = 36960.

The previous prime is 148763. The next prime is 148781. The reversal of 148764 is 467841.

Added to its reverse (467841) it gives a triangular number (616605 = T1110).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6457 + ... + 6479.

It is an arithmetic number, because the mean of its divisors is an integer number (6384).

2148764 is an apocalyptic number.

148764 is a gapful number since it is divisible by the number (14) 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 148764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229824).

148764 is an abundant number, since it is smaller than the sum of its proper divisors (310884).

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

148764 is a wasteful number, since it uses less digits than its factorization.

148764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 46 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 148764 is about 385.6993647908. The cubic root of 148764 is about 52.9865873263.

Adding to 148764 its reverse (467841), we get a triangular number (616605 = T1110).

It can be divided in two parts, 1487 and 64, that added together give a palindrome (1551).

The spelling of 148764 in words is "one hundred forty-eight thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 23 28 33 42 44 46 49 66 69 77 84 92 98 132 138 147 154 161 196 231 253 276 294 308 322 462 483 506 539 588 644 759 924 966 1012 1078 1127 1518 1617 1771 1932 2156 2254 3036 3234 3381 3542 4508 5313 6468 6762 7084 10626 12397 13524 21252 24794 37191 49588 74382 148764