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138177378 = 2321372409
BaseRepresentation
bin10000011110001…
…10101101100010
3100122000010201200
420033012231202
5240333134003
621413342030
73265326333
oct1017065542
9318003650
10138177378
1170aa7789
123a337916
132281c881
14144cc28a
15c1e66a3
hex83c6b62

138177378 has 36 divisors (see below), whose sum is σ = 302322930. Its totient is φ = 45611136.

The previous prime is 138177341. The next prime is 138177379. The reversal of 138177378 is 873771831.

It can be written as a sum of positive squares in 3 ways, for example, as 137663289 + 514089 = 11733^2 + 717^2 .

It is not an unprimeable number, because it can be changed into a prime (138177379) 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 17 ways as a sum of consecutive naturals, for example, 337638 + ... + 338046.

Almost surely, 2138177378 is an apocalyptic number.

138177378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

138177378 is an abundant number, since it is smaller than the sum of its proper divisors (164145552).

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

138177378 is a wasteful number, since it uses less digits than its factorization.

138177378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 551 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The square root of 138177378 is about 11754.8874090737. The cubic root of 138177378 is about 516.9862379999.

The spelling of 138177378 in words is "one hundred thirty-eight million, one hundred seventy-seven thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 137 274 409 411 818 822 1227 1233 2454 2466 3681 7362 18769 37538 56033 56307 112066 112614 168099 168921 336198 337842 504297 1008594 7676521 15353042 23029563 46059126 69088689 138177378