138007920 has 40 divisors (see below), whose sum is σ = 427825296. Its totient is φ = 36802048.

The previous prime is 138007847. The next prime is 138007999. The reversal of 138007920 is 29700831.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 287277 + ... + 287756.

Almost surely, 2^138007920 is an apocalyptic number.

138007920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138007920 is an abundant number, since it is smaller than the sum of its proper divisors (289817376).

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

138007920 is a wasteful number, since it uses less digits than its factorization.

138007920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575049 (or 575043 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 138007920 is about 11747.6772172204. The cubic root of 138007920 is about 516.7748109849.

The spelling of 138007920 in words is "one hundred thirty-eight million, seven thousand, nine hundred twenty".