138802160 has 80 divisors (see below), whose sum is σ = 374118912. Its totient is φ = 46905600.

The previous prime is 138802129. The next prime is 138802187. The reversal of 138802160 is 61208831.

138802160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 38015 + ... + 41505.

Almost surely, 2^138802160 is an apocalyptic number.

138802160 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 138802160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187059456).

138802160 is an abundant number, since it is smaller than the sum of its proper divisors (235316752).

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

138802160 is a wasteful number, since it uses less digits than its factorization.

138802160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3582 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 138802160 is about 11781.4328500399. The cubic root of 138802160 is about 517.7642671514.

The spelling of 138802160 in words is "one hundred thirty-eight million, eight hundred two thousand, one hundred sixty".