138354320 has 40 divisors (see below), whose sum is σ = 346420536. Its totient is φ = 51084288.

The previous prime is 138354319. The next prime is 138354367. The reversal of 138354320 is 23453831.

It can be written as a sum of positive squares in 4 ways, for example, as 6012304 + 132342016 = 2452^2 + 11504^2 .

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

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, 65477 + ... + 67556.

Almost surely, 2^138354320 is an apocalyptic number.

138354320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138354320 is an abundant number, since it is smaller than the sum of its proper divisors (208066216).

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

138354320 is a wasteful number, since it uses less digits than its factorization.

138354320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133059 (or 133053 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 138354320 is about 11762.4113174128. The cubic root of 138354320 is about 517.2068181495.

The spelling of 138354320 in words is "one hundred thirty-eight million, three hundred fifty-four thousand, three hundred twenty".