138346080 has 96 divisors (see below), whose sum is σ = 438014304. Its totient is φ = 36704256.

The previous prime is 138346009. The next prime is 138346097. The reversal of 138346080 is 80643831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111222 + ... + 112458.

It is an arithmetic number, because the mean of its divisors is an integer number (4562649).

Almost surely, 2^138346080 is an apocalyptic number.

138346080 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 138346080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219007152).

138346080 is an abundant number, since it is smaller than the sum of its proper divisors (299668224).

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

138346080 is a wasteful number, since it uses less digits than its factorization.

138346080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 138346080 is about 11762.0610438817. The cubic root of 138346080 is about 517.1965501439.

The spelling of 138346080 in words is "one hundred thirty-eight million, three hundred forty-six thousand, eighty".