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138000544 = 2511616427
BaseRepresentation
bin10000011100110…
…11100010100000
3100121200011011021
420032123202200
5240312004134
621405455224
73263661643
oct1016334240
9317604137
10138000544
1170996940
123a271514
132278a236
1414483a5a
15c1ae0b4
hex839b8a0

138000544 has 48 divisors (see below), whose sum is σ = 301293216. Its totient is φ = 61689600.

The previous prime is 138000539. The next prime is 138000557. The reversal of 138000544 is 445000831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18259 + ... + 24685.

It is an arithmetic number, because the mean of its divisors is an integer number (6276942).

Almost surely, 2138000544 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 138000544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150646608).

138000544 is an abundant number, since it is smaller than the sum of its proper divisors (163292672).

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

138000544 is a wasteful number, since it uses less digits than its factorization.

138000544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6509 (or 6501 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 138000544 is about 11747.3632786255. The cubic root of 138000544 is about 516.7656042696.

The spelling of 138000544 in words is "one hundred thirty-eight million, five hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 32 44 61 88 122 176 244 352 488 671 976 1342 1952 2684 5368 6427 10736 12854 21472 25708 51416 70697 102832 141394 205664 282788 392047 565576 784094 1131152 1568188 2262304 3136376 4312517 6272752 8625034 12545504 17250068 34500136 69000272 138000544