138654880 has 192 divisors, whose sum is σ = 411505920. Its totient is φ = 42983424.

The previous prime is 138654871. The next prime is 138654881. The reversal of 138654880 is 88456831.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138654881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1295787 + ... + 1295893.

It is an arithmetic number, because the mean of its divisors is an integer number (2143260).

Almost surely, 2^138654880 is an apocalyptic number.

138654880 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 138654880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205752960).

138654880 is an abundant number, since it is smaller than the sum of its proper divisors (272851040).

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

138654880 is a wasteful number, since it uses less digits than its factorization.

138654880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The square root of 138654880 is about 11775.1806780193. The cubic root of 138654880 is about 517.5810728156.

The spelling of 138654880 in words is "one hundred thirty-eight million, six hundred fifty-four thousand, eight hundred eighty".