138386880 has 280 divisors, whose sum is σ = 520019280. Its totient is φ = 34836480.

The previous prime is 138386873. The next prime is 138386891. The reversal of 138386880 is 88683831.

138386880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138386880² = 38301857112268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 492340 + ... + 492620.

Almost surely, 2^138386880 is an apocalyptic number.

138386880 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 138386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260009640).

138386880 is an abundant number, since it is smaller than the sum of its proper divisors (381632400).

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

138386880 is a wasteful number, since it uses less digits than its factorization.

138386880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 138386880 is about 11763.7953059376. The cubic root of 138386880 is about 517.2473877371.

The spelling of 138386880 in words is "one hundred thirty-eight million, three hundred eighty-six thousand, eight hundred eighty".