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138524124 = 22323717069
BaseRepresentation
bin10000100000110…
…11010111011100
3100122122202101010
420100123113130
5240430232444
621425015220
73301302264
oct1020332734
9318582333
10138524124
1171214252
123a484510
132291164b
141457c7a4
15c2642b9
hex841b5dc

138524124 has 48 divisors (see below), whose sum is σ = 342074880. Its totient is φ = 43538880.

The previous prime is 138524123. The next prime is 138524131. The reversal of 138524124 is 421425831.

138524124 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 138524091 and 138524100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138524123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16062 + ... + 23130.

It is an arithmetic number, because the mean of its divisors is an integer number (7126560).

Almost surely, 2138524124 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 138524124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171037440).

138524124 is an abundant number, since it is smaller than the sum of its proper divisors (203550756).

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

138524124 is a wasteful number, since it uses less digits than its factorization.

138524124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7170 (or 7168 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 138524124 is about 11769.6271818609. The cubic root of 138524124 is about 517.4183231268.

Adding to 138524124 its reverse (421425831), we get a palindrome (559949955).

The spelling of 138524124 in words is "one hundred thirty-eight million, five hundred twenty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 23 46 69 71 92 138 142 213 276 284 426 852 1633 3266 4899 6532 7069 9798 14138 19596 21207 28276 42414 84828 162587 325174 487761 501899 650348 975522 1003798 1505697 1951044 2007596 3011394 6022788 11543677 23087354 34631031 46174708 69262062 138524124