138849345 has 48 divisors (see below), whose sum is σ = 250220880. Its totient is φ = 71165952.

The previous prime is 138849313. The next prime is 138849383. The reversal of 138849345 is 543948831.

It can be written as a sum of positive squares in 8 ways, for example, as 11068929 + 127780416 = 3327^2 + 11304^2 .

It is not a de Polignac number, because 138849345 - 2⁵ = 138849313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 138849345.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147717 + ... + 148653.

It is an arithmetic number, because the mean of its divisors is an integer number (5212935).

Almost surely, 2^138849345 is an apocalyptic number.

138849345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138849345 is a deficient number, since it is larger than the sum of its proper divisors (111371535).

138849345 is a wasteful number, since it uses less digits than its factorization.

138849345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1071 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 138849345 is about 11783.4351952221. The cubic root of 138849345 is about 517.8229308376.

The spelling of 138849345 in words is "one hundred thirty-eight million, eight hundred forty-nine thousand, three hundred forty-five".