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138852 = 223271929
BaseRepresentation
bin100001111001100100
321001110200
4201321210
513420402
62550500
71115550
oct417144
9231420
10138852
119535a
1268430
134b27c
1438860
152b21c
hex21e64

138852 has 72 divisors (see below), whose sum is σ = 436800. Its totient is φ = 36288.

The previous prime is 138841. The next prime is 138863. The reversal of 138852 is 258831.

138852 = T43 + T44 + ... + T96.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (138841) and next prime (138863).

Its product of digits (1920) is a multiple of the sum of its prime divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4774 + ... + 4802.

2138852 is an apocalyptic number.

138852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218400).

138852 is an abundant number, since it is smaller than the sum of its proper divisors (297948).

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

138852 is a wasteful number, since it uses less digits than its factorization.

138852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 60 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 138852 is about 372.6285013254. The cubic root of 138852 is about 51.7826231324.

It can be divided in two parts, 138 and 852, that added together give a triangular number (990 = T44).

The spelling of 138852 in words is "one hundred thirty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 29 36 38 42 57 58 63 76 84 87 114 116 126 133 171 174 203 228 252 261 266 342 348 399 406 522 532 551 609 684 798 812 1044 1102 1197 1218 1596 1653 1827 2204 2394 2436 3306 3654 3857 4788 4959 6612 7308 7714 9918 11571 15428 19836 23142 34713 46284 69426 138852