138257360 has 40 divisors (see below), whose sum is σ = 322084296. Its totient is φ = 55193600.

The previous prime is 138257359. The next prime is 138257387. The reversal of 138257360 is 63752831.

It can be written as a sum of positive squares in 4 ways, for example, as 53824 + 138203536 = 232^2 + 11756^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 138257360.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 47960 + ... + 50760.

Almost surely, 2^138257360 is an apocalyptic number.

138257360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138257360 is an abundant number, since it is smaller than the sum of its proper divisors (183826936).

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

138257360 is a wasteful number, since it uses less digits than its factorization.

138257360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431 (or 3425 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 138257360 is about 11758.2889911755. The cubic root of 138257360 is about 517.0859687910.

The spelling of 138257360 in words is "one hundred thirty-eight million, two hundred fifty-seven thousand, three hundred sixty".