138873280 has 224 divisors, whose sum is σ = 430133760. Its totient is φ = 41472000.

The previous prime is 138873253. The next prime is 138873307. The reversal of 138873280 is 82378831.

138873280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138873253) and next prime (138873307).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 553155 + ... + 553405.

It is an arithmetic number, because the mean of its divisors is an integer number (1920240).

Almost surely, 2^138873280 is an apocalyptic number.

138873280 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 138873280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215066880).

138873280 is an abundant number, since it is smaller than the sum of its proper divisors (291260480).

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

138873280 is a wasteful number, since it uses less digits than its factorization.

138873280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 138873280 is about 11784.4507720980. The cubic root of 138873280 is about 517.8526834201.

The spelling of 138873280 in words is "one hundred thirty-eight million, eight hundred seventy-three thousand, two hundred eighty".