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138377025 = 33521731389
BaseRepresentation
bin10000011111101…
…11011101000001
3100122101021121000
420033313131001
5240411031100
621421522213
73300120363
oct1017673501
9318337530
10138377025
1171123786
123a413369
132288c6c7
1414540d33
15c235900
hex83f7741

138377025 has 96 divisors (see below), whose sum is σ = 278553600. Its totient is φ = 67046400.

The previous prime is 138377021. The next prime is 138377027. The reversal of 138377025 is 520773831.

It is not a de Polignac number, because 138377025 - 22 = 138377021 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138377021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 355531 + ... + 355919.

It is an arithmetic number, because the mean of its divisors is an integer number (2901600).

Almost surely, 2138377025 is an apocalyptic number.

138377025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138377025 is an abundant number, since it is smaller than the sum of its proper divisors (140176575).

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

138377025 is a wasteful number, since it uses less digits than its factorization.

138377025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 138377025 is about 11763.3764285600. The cubic root of 138377025 is about 517.2351091309.

The spelling of 138377025 in words is "one hundred thirty-eight million, three hundred seventy-seven thousand, twenty-five".

Divisors: 1 3 5 9 15 17 25 27 31 45 51 75 85 93 135 153 155 225 255 279 389 425 459 465 527 675 765 775 837 1167 1275 1395 1581 1945 2295 2325 2635 3501 3825 4185 4743 5835 6613 6975 7905 9725 10503 11475 12059 13175 14229 17505 19839 20925 23715 29175 33065 36177 39525 52515 59517 60295 71145 87525 99195 108531 118575 165325 178551 180885 205003 262575 297585 301475 325593 355725 495975 542655 615009 892755 904425 1025015 1487925 1627965 1845027 2713275 3075045 4463775 5125075 5535081 8139825 9225135 15375225 27675405 46125675 138377025