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138039001 = 3123792
BaseRepresentation
bin10000011101001…
…00111011011001
3100121202002220121
420032210323121
5240314222001
621410353241
73264212032
oct1016447331
9317662817
10138039001
1170a12821
123a28b821
13227a18a9
1414493a89
15c1ba6a1
hex83a4ed9

138039001 has 9 divisors (see below), whose sum is σ = 143012853. Its totient is φ = 133233660.

The previous prime is 138038993. The next prime is 138039019. The reversal of 138039001 is 100930831.

The square root of 138039001 is 11749.

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

138039001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138039001 - 23 = 138038993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138039061) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 364030 + ... + 364408.

It is an arithmetic number, because the mean of its divisors is an integer number (15890317).

Almost surely, 2138039001 is an apocalyptic number.

138039001 is the 11749-th square number.

138039001 is the 5875-th centered octagonal number.

It is an amenable number.

138039001 is a deficient number, since it is larger than the sum of its proper divisors (4973852).

138039001 is an frugal number, since it uses more digits than its factorization.

138039001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The cubic root of 138039001 is about 516.8136026530.

Multiplying 138039001 by its sum of digits (25), we get a square (3450975025 = 587452).

Adding to 138039001 its reverse (100930831), we get a palindrome (238969832).

The spelling of 138039001 in words is "one hundred thirty-eight million, thirty-nine thousand, one".

Divisors: 1 31 379 961 11749 143641 364219 4452871 138039001