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138125190 = 2357679817
BaseRepresentation
bin10000011101110…
…01111110000110
3100121220111010210
420032321332012
5240330001230
621412300250
73265021230
oct1016717606
9317814123
10138125190
1170a71555
123a311686
1322801ba8
14144b7250
15c1d5eb0
hex83b9f86

138125190 has 64 divisors (see below), whose sum is σ = 384551424. Its totient is φ = 31097088.

The previous prime is 138125161. The next prime is 138125191. The reversal of 138125190 is 91521831.

It is a super-2 number, since 2×1381251902 = 38157136225072200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138125191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9162 + ... + 18978.

It is an arithmetic number, because the mean of its divisors is an integer number (6008616).

Almost surely, 2138125190 is an apocalyptic number.

138125190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138125190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192275712).

138125190 is an abundant number, since it is smaller than the sum of its proper divisors (246426234).

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

138125190 is a wasteful number, since it uses less digits than its factorization.

138125190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9901.

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 138125190 is about 11752.6673568173. The cubic root of 138125190 is about 516.9211432267.

The spelling of 138125190 in words is "one hundred thirty-eight million, one hundred twenty-five thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 67 70 105 134 201 210 335 402 469 670 938 1005 1407 2010 2345 2814 4690 7035 9817 14070 19634 29451 49085 58902 68719 98170 137438 147255 206157 294510 343595 412314 657739 687190 1030785 1315478 1973217 2061570 3288695 3946434 4604173 6577390 9208346 9866085 13812519 19732170 23020865 27625038 46041730 69062595 138125190