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138274081 = 11210692
BaseRepresentation
bin10000011110111…
…10010100100001
3100122012001101021
420033132110201
5240344232311
621415405441
73266211301
oct1017362441
9318161337
10138274081
1171063400
123a383881
13228548aa
1414515601
15c215171
hex83de521

138274081 has 9 divisors (see below), whose sum is σ = 152129523. Its totient is φ = 125586120.

The previous prime is 138274079. The next prime is 138274109. The reversal of 138274081 is 180472831.

It is a happy number.

The square root of 138274081 is 11759.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 64657681 + 73616400 = 8041^2 + 8580^2 .

It is not a de Polignac number, because 138274081 - 21 = 138274079 is a prime.

It is a super-2 number, since 2×1382740812 = 38239442952789122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138374081) 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 8 ways as a sum of consecutive naturals, for example, 128815 + ... + 129883.

Almost surely, 2138274081 is an apocalyptic number.

138274081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

138274081 is the 11759-th square number.

138274081 is the 5880-th centered octagonal number.

It is an amenable number.

138274081 is a deficient number, since it is larger than the sum of its proper divisors (13855442).

138274081 is an frugal number, since it uses more digits than its factorization.

138274081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The cubic root of 138274081 is about 517.1068136027.

The spelling of 138274081 in words is "one hundred thirty-eight million, two hundred seventy-four thousand, eighty-one".