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138318477 = 31117246557
BaseRepresentation
bin10000011111010…
…01001010001101
3100122021022021120
420033221022031
5240402142402
621420351153
73266454603
oct1017511215
9318238246
10138318477
11710937a0
123a3a54b9
132286bb6b
1414527873
15c2233bc
hex83e928d

138318477 has 16 divisors (see below), whose sum is σ = 213026112. Its totient is φ = 78897920.

The previous prime is 138318457. The next prime is 138318529. The reversal of 138318477 is 774813831.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 138318477 - 28 = 138318221 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138318457) 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 15 ways as a sum of consecutive naturals, for example, 122718 + ... + 123839.

It is an arithmetic number, because the mean of its divisors is an integer number (13314132).

Almost surely, 2138318477 is an apocalyptic number.

138318477 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

138318477 is a deficient number, since it is larger than the sum of its proper divisors (74707635).

138318477 is a wasteful number, since it uses less digits than its factorization.

138318477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246588.

The product of its digits is 112896, while the sum is 42.

The square root of 138318477 is about 11760.8875940551. The cubic root of 138318477 is about 517.1621506005.

The spelling of 138318477 in words is "one hundred thirty-eight million, three hundred eighteen thousand, four hundred seventy-seven".

Divisors: 1 3 11 17 33 51 187 561 246557 739671 2712127 4191469 8136381 12574407 46106159 138318477