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148148 = 227111337
BaseRepresentation
bin100100001010110100
321112012222
4210022310
514220043
63101512
71154630
oct441264
9245188
10148148
11a1340
1271898
1352580
143bdc0
152dd68
hex242b4

148148 has 48 divisors (see below), whose sum is σ = 357504. Its totient is φ = 51840.

The previous prime is 148147. The next prime is 148151. The reversal of 148148 is 841841.

Adding to 148148 its reverse (841841), we get a palindrome (989989).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148147) 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 15 ways as a sum of consecutive naturals, for example, 3986 + ... + 4022.

It is an arithmetic number, because the mean of its divisors is an integer number (7448).

2148148 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 148148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178752).

148148 is an abundant number, since it is smaller than the sum of its proper divisors (209356).

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

148148 is a wasteful number, since it uses less digits than its factorization.

148148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 70 counting only the distinct ones).

The product of its digits is 1024, while the sum is 26.

The square root of 148148 is about 384.8999870096. The cubic root of 148148 is about 52.9133507611.

The spelling of 148148 in words is "one hundred forty-eight thousand, one hundred forty-eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 37 44 52 74 77 91 143 148 154 182 259 286 308 364 407 481 518 572 814 962 1001 1036 1628 1924 2002 2849 3367 4004 5291 5698 6734 10582 11396 13468 21164 37037 74074 148148