138316920 has 64 divisors (see below), whose sum is σ = 474232320. Its totient is φ = 31615104.

The previous prime is 138316907. The next prime is 138316943. The reversal of 138316920 is 29613831.

138316920 = T₄₀₄ + T₄₀₅ + ... + T₉₆₃.

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 15 ways as a sum of consecutive naturals, for example, 81492 + ... + 83171.

It is an arithmetic number, because the mean of its divisors is an integer number (7409880).

Almost surely, 2^138316920 is an apocalyptic number.

138316920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138316920 is an abundant number, since it is smaller than the sum of its proper divisors (335915400).

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

138316920 is a wasteful number, since it uses less digits than its factorization.

138316920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164684 (or 164680 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 138316920 is about 11760.8213998853. The cubic root of 138316920 is about 517.1602100921.

The spelling of 138316920 in words is "one hundred thirty-eight million, three hundred sixteen thousand, nine hundred twenty".