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138140145 = 325111321467
BaseRepresentation
bin10000011101111…
…01100111110001
3100121221020122200
420032331213301
5240330441040
621412453413
73265112643
oct1016754761
9317836580
10138140145
1170a81810
123a31a269
1322808940
14144bc893
15c1da630
hex83bd9f1

138140145 has 48 divisors (see below), whose sum is σ = 281316672. Its totient is φ = 61822080.

The previous prime is 138140141. The next prime is 138140183. The reversal of 138140145 is 541041831.

It is a happy number.

It is not a de Polignac number, because 138140145 - 22 = 138140141 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138140141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4299 + ... + 17168.

It is an arithmetic number, because the mean of its divisors is an integer number (5860764).

Almost surely, 2138140145 is an apocalyptic number.

138140145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138140145 is an abundant number, since it is smaller than the sum of its proper divisors (143176527).

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

138140145 is a wasteful number, since it uses less digits than its factorization.

138140145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21502 (or 21499 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 138140145 is about 11753.3035781435. The cubic root of 138140145 is about 516.9397984691.

Adding to 138140145 its reverse (541041831), we get a palindrome (679181976).

The spelling of 138140145 in words is "one hundred thirty-eight million, one hundred forty thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 195 429 495 585 715 1287 2145 6435 21467 64401 107335 193203 236137 279071 322005 708411 837213 966015 1180685 1395355 2125233 2511639 3069781 3542055 4186065 9209343 10626165 12558195 15348905 27628029 46046715 138140145