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138545660 = 225114713399
BaseRepresentation
bin10000100001000…
…00100111111100
3100122200211220202
420100200213330
5240431430120
621425303032
73301422131
oct1020404774
9318624822
10138545660
1171229450
123a494a78
132291b3a6
1414586588
15c26a875
hex84209fc

138545660 has 48 divisors (see below), whose sum is σ = 324172800. Its totient is φ = 49304640.

The previous prime is 138545653. The next prime is 138545669. The reversal of 138545660 is 66545831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138545669) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3641 + ... + 17039.

It is an arithmetic number, because the mean of its divisors is an integer number (6753600).

Almost surely, 2138545660 is an apocalyptic number.

138545660 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 138545660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162086400).

138545660 is an abundant number, since it is smaller than the sum of its proper divisors (185627140).

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

138545660 is a wasteful number, since it uses less digits than its factorization.

138545660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13466 (or 13464 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 138545660 is about 11770.5420435934. The cubic root of 138545660 is about 517.4451356494.

The spelling of 138545660 in words is "one hundred thirty-eight million, five hundred forty-five thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 2068 2585 5170 10340 13399 26798 53596 66995 133990 147389 267980 294778 589556 629753 736945 1259506 1473890 2519012 2947780 3148765 6297530 6927283 12595060 13854566 27709132 34636415 69272830 138545660