138419920 has 40 divisors (see below), whose sum is σ = 325459080. Its totient is φ = 54743040.

The previous prime is 138419917. The next prime is 138419951. The reversal of 138419920 is 29914831.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 138391696 = 168^2 + 11764^2 .

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 138419920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2601 + ... + 16840.

It is an arithmetic number, because the mean of its divisors is an integer number (8136477).

Almost surely, 2^138419920 is an apocalyptic number.

138419920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138419920 is an abundant number, since it is smaller than the sum of its proper divisors (187039160).

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

138419920 is a wasteful number, since it uses less digits than its factorization.

138419920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19543 (or 19537 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 138419920 is about 11765.1995308197. The cubic root of 138419920 is about 517.2885488977.

The spelling of 138419920 in words is "one hundred thirty-eight million, four hundred nineteen thousand, nine hundred twenty".