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138474 = 23272157
BaseRepresentation
bin100001110011101010
321000221200
4201303222
513412344
62545030
71114500
oct416352
9230850
10138474
1195046
1268176
134b04b
1438670
152b069
hex21cea

138474 has 36 divisors (see below), whose sum is σ = 351234. Its totient is φ = 39312.

The previous prime is 138469. The next prime is 138493. The reversal of 138474 is 474831.

138474 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 127449 + 11025 = 357^2 + 105^2 .

It is a Curzon number.

It is an unprimeable number.

138474 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 804 + ... + 960.

2138474 is an apocalyptic number.

138474 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175617).

138474 is an abundant number, since it is smaller than the sum of its proper divisors (212760).

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

138474 is a wasteful number, since it uses less digits than its factorization.

138474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 169 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 138474 is about 372.1209480801. The cubic root of 138474 is about 51.7355907513.

The spelling of 138474 in words is "one hundred thirty-eight thousand, four hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 157 294 314 441 471 882 942 1099 1413 2198 2826 3297 6594 7693 9891 15386 19782 23079 46158 69237 138474