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148122 = 23313211
BaseRepresentation
bin100100001010011010
321112012000
4210022122
514214442
63101430
71154562
oct441232
9245160
10148122
11a1317
1271876
1352560
143bda2
152dd4c
hex2429a

148122 has 32 divisors (see below), whose sum is σ = 356160. Its totient is φ = 45360.

The previous prime is 148091. The next prime is 148123. The reversal of 148122 is 221841.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 148095 and 148104.

It is not an unprimeable number, because it can be changed into a prime (148123) by changing a digit.

148122 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 597 + ... + 807.

It is an arithmetic number, because the mean of its divisors is an integer number (11130).

2148122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178080).

148122 is an abundant number, since it is smaller than the sum of its proper divisors (208038).

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

148122 is a wasteful number, since it uses less digits than its factorization.

148122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 148122 is about 384.8662105200. The cubic root of 148122 is about 52.9102551459.

Adding to 148122 its reverse (221841), we get a palindrome (369963).

The spelling of 148122 in words is "one hundred forty-eight thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 211 234 351 422 633 702 1266 1899 2743 3798 5486 5697 8229 11394 16458 24687 49374 74061 148122