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138051120 = 2435575213
BaseRepresentation
bin10000011101001…
…11111000110000
3100121202201112110
420032213320300
5240320113440
621410525320
73264262254
oct1016477060
9317681473
10138051120
1170a20939
123a296840
13227a726c
1414498264
15c1be080
hex83a7e30

138051120 has 40 divisors (see below), whose sum is σ = 427959216. Its totient is φ = 36813568.

The previous prime is 138051119. The next prime is 138051127. The reversal of 138051120 is 21150831.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1380511202 = 38116223466508800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138051127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 287367 + ... + 287846.

Almost surely, 2138051120 is an apocalyptic number.

138051120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138051120 is an abundant number, since it is smaller than the sum of its proper divisors (289908096).

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

138051120 is a wasteful number, since it uses less digits than its factorization.

138051120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575229 (or 575223 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 138051120 is about 11749.5157347016. The cubic root of 138051120 is about 516.8287265932.

The spelling of 138051120 in words is "one hundred thirty-eight million, fifty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 575213 1150426 1725639 2300852 2876065 3451278 4601704 5752130 6902556 8628195 9203408 11504260 13805112 17256390 23008520 27610224 34512780 46017040 69025560 138051120