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BaseRepresentation
bin100001110000011000
321000122220
4201300120
513411024
62544040
71114050
oct416030
9230586
10138264
1194975
1268020
134ac19
1438560
152ae79
hex21c18

138264 has 32 divisors (see below), whose sum is σ = 395520. Its totient is φ = 39456.

The previous prime is 138251. The next prime is 138283. The reversal of 138264 is 462831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244 + ... + 579.

It is an arithmetic number, because the mean of its divisors is an integer number (12360).

2138264 is an apocalyptic number.

138264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

138264 is an abundant number, since it is smaller than the sum of its proper divisors (257256).

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

138264 is a wasteful number, since it uses less digits than its factorization.

138264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 835 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 138264 is about 371.8386746964. The cubic root of 138264 is about 51.7094246580.

The spelling of 138264 in words is "one hundred thirty-eight thousand, two hundred sixty-four".