138872160 has 288 divisors, whose sum is σ = 566092800. Its totient is φ = 30311424.

The previous prime is 138872147. The next prime is 138872161. The reversal of 138872160 is 61278831.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138872161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231541 + ... + 232139.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2^138872160 is an apocalyptic number.

138872160 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 138872160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283046400).

138872160 is an abundant number, since it is smaller than the sum of its proper divisors (427220640).

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

138872160 is a wasteful number, since it uses less digits than its factorization.

138872160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 138872160 is about 11784.4032517561. The cubic root of 138872160 is about 517.8512912719.

The spelling of 138872160 in words is "one hundred thirty-eight million, eight hundred seventy-two thousand, one hundred sixty".