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138348557 = 1921572441
BaseRepresentation
bin10000011111100…
…00100000001101
3100122022211112122
420033300200031
5240404123212
621421142325
73266641364
oct1017604015
9318284478
10138348557
1171104356
123a3ba9a5
132287c769
14145347db
15c22c272
hex83f080d

138348557 has 12 divisors (see below), whose sum is σ = 147003516. Its totient is φ = 130178880.

The previous prime is 138348547. The next prime is 138348559. The reversal of 138348557 is 755843831.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 25542916 + 112805641 = 5054^2 + 10621^2 .

It is not a de Polignac number, because 138348557 - 26 = 138348493 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138348559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55457 + ... + 57897.

It is an arithmetic number, because the mean of its divisors is an integer number (12250293).

Almost surely, 2138348557 is an apocalyptic number.

It is an amenable number.

138348557 is a deficient number, since it is larger than the sum of its proper divisors (8654959).

138348557 is a wasteful number, since it uses less digits than its factorization.

138348557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636 (or 2617 counting only the distinct ones).

The product of its digits is 403200, while the sum is 44.

The square root of 138348557 is about 11762.1663395822. The cubic root of 138348557 is about 517.1996368190.

The spelling of 138348557 in words is "one hundred thirty-eight million, three hundred forty-eight thousand, five hundred fifty-seven".

Divisors: 1 19 157 361 2441 2983 46379 56677 383237 881201 7281503 138348557