138127920 has 80 divisors (see below), whose sum is σ = 489373440. Its totient is φ = 31571712.

The previous prime is 138127879. The next prime is 138127931. The reversal of 138127920 is 29721831.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39430 + ... + 42789.

It is an arithmetic number, because the mean of its divisors is an integer number (6117168).

Almost surely, 2^138127920 is an apocalyptic number.

138127920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138127920 is an abundant number, since it is smaller than the sum of its proper divisors (351245520).

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

138127920 is a wasteful number, since it uses less digits than its factorization.

138127920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82242 (or 82236 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 138127920 is about 11752.7835000905. The cubic root of 138127920 is about 516.9245487977.

The spelling of 138127920 in words is "one hundred thirty-eight million, one hundred twenty-seven thousand, nine hundred twenty".