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138444120 = 23335128189
BaseRepresentation
bin10000100000001…
…11110101011000
3100122111200122000
420100013311120
5240420202440
621423201000
73300520113
oct1020076530
9318450560
10138444120
117116a131
123a446160
13228b40c9
141455b57a
15c24a730
hex8407d58

138444120 has 64 divisors (see below), whose sum is σ = 461484000. Its totient is φ = 36918144.

The previous prime is 138444091. The next prime is 138444143. The reversal of 138444120 is 21444831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 63015 + ... + 65174.

Almost surely, 2138444120 is an apocalyptic number.

138444120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138444120 is an abundant number, since it is smaller than the sum of its proper divisors (323039880).

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

138444120 is a wasteful number, since it uses less digits than its factorization.

138444120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128209 (or 128199 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 138444120 is about 11766.2279427181. The cubic root of 138444120 is about 517.3186930500.

Adding to 138444120 its reverse (21444831), we get a palindrome (159888951).

The spelling of 138444120 in words is "one hundred thirty-eight million, four hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 128189 256378 384567 512756 640945 769134 1025512 1153701 1281890 1538268 1922835 2307402 2563780 3076536 3461103 3845670 4614804 5127560 5768505 6922206 7691340 9229608 11537010 13844412 15382680 17305515 23074020 27688824 34611030 46148040 69222060 138444120