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138143160 = 23325499769
BaseRepresentation
bin10000011101111…
…10010110111000
3100121221101210100
420032332112320
5240331040120
621412515400
73265124511
oct1016762670
9317841710
10138143160
1170a84001
123a31bb60
132280a11c
14144bda08
15c1db490
hex83be5b8

138143160 has 96 divisors (see below), whose sum is σ = 450450000. Its totient is φ = 36716544.

The previous prime is 138143149. The next prime is 138143183. The reversal of 138143160 is 61341831.

It is a congruent number.

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, 179256 + ... + 180024.

Almost surely, 2138143160 is an apocalyptic number.

138143160 is a gapful number since it is divisible by the number (10) 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 138143160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225225000).

138143160 is an abundant number, since it is smaller than the sum of its proper divisors (312306840).

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

138143160 is a wasteful number, since it uses less digits than its factorization.

138143160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 138143160 is about 11753.4318392544. The cubic root of 138143160 is about 516.9435592927.

Adding to 138143160 its reverse (61341831), we get a palindrome (199484991).

The spelling of 138143160 in words is "one hundred thirty-eight million, one hundred forty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 499 769 998 1497 1538 1996 2307 2495 2994 3076 3845 3992 4491 4614 4990 5988 6152 6921 7485 7690 8982 9228 9980 11535 11976 13842 14970 15380 17964 18456 19960 22455 23070 27684 29940 30760 34605 35928 44910 46140 55368 59880 69210 89820 92280 138420 179640 276840 383731 767462 1151193 1534924 1918655 2302386 3069848 3453579 3837310 4604772 5755965 6907158 7674620 9209544 11511930 13814316 15349240 17267895 23023860 27628632 34535790 46047720 69071580 138143160