138806720 has 112 divisors (see below), whose sum is σ = 362455968. Its totient is φ = 50319360.

The previous prime is 138806687. The next prime is 138806741. The reversal of 138806720 is 27608831.

It is a congruent number.

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, 253487 + ... + 254033.

It is an arithmetic number, because the mean of its divisors is an integer number (3236214).

Almost surely, 2^138806720 is an apocalyptic number.

138806720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181227984).

138806720 is an abundant number, since it is smaller than the sum of its proper divisors (223649248).

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

138806720 is a wasteful number, since it uses less digits than its factorization.

138806720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 138806720 is about 11781.6263732984. The cubic root of 138806720 is about 517.7699370420.

The spelling of 138806720 in words is "one hundred thirty-eight million, eight hundred six thousand, seven hundred twenty".