138646080 has 168 divisors, whose sum is σ = 494824512. Its totient is φ = 36951552.

The previous prime is 138646063. The next prime is 138646091. The reversal of 138646080 is 80646831.

It is a happy number.

138646080 is a `hidden beast` number, since 1 + 3 + 8 + 646 + 0 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76869 + ... + 78651.

It is an arithmetic number, because the mean of its divisors is an integer number (2945384).

Almost surely, 2^138646080 is an apocalyptic number.

138646080 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 138646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247412256).

138646080 is an abundant number, since it is smaller than the sum of its proper divisors (356178432).

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

138646080 is an equidigital number, since it uses as much as digits as its factorization.

138646080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 138646080 is about 11774.8070047878. The cubic root of 138646080 is about 517.5701228229.

The spelling of 138646080 in words is "one hundred thirty-eight million, six hundred forty-six thousand, eighty".