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138180225 = 35210511753
BaseRepresentation
bin10000011110001…
…11011010000001
3100122000021122010
420033013122001
5240333231400
621413403133
73265340541
oct1017073201
9318007563
10138180225
1170aa9937
123a3394a9
1322820c61
14144cd321
15c1e7450
hex83c7681

138180225 has 24 divisors (see below), whose sum is σ = 228805792. Its totient is φ = 73584000.

The previous prime is 138180193. The next prime is 138180239. The reversal of 138180225 is 522081831.

It is not a de Polignac number, because 138180225 - 25 = 138180193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 138180192 and 138180201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77949 + ... + 79701.

Almost surely, 2138180225 is an apocalyptic number.

138180225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138180225 is a deficient number, since it is larger than the sum of its proper divisors (90625567).

138180225 is a wasteful number, since it uses less digits than its factorization.

138180225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 138180225 is about 11755.0085070152. The cubic root of 138180225 is about 516.9897886286.

The spelling of 138180225 in words is "one hundred thirty-eight million, one hundred eighty thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 75 1051 1753 3153 5255 5259 8765 15765 26275 26295 43825 78825 131475 1842403 5527209 9212015 27636045 46060075 138180225