138575760 has 40 divisors (see below), whose sum is σ = 429585600. Its totient is φ = 36953472.

The previous prime is 138575729. The next prime is 138575771. The reversal of 138575760 is 67575831.

138575760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288460 + ... + 288939.

It is an arithmetic number, because the mean of its divisors is an integer number (10739640).

Almost surely, 2^138575760 is an apocalyptic number.

138575760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138575760 is an abundant number, since it is smaller than the sum of its proper divisors (291009840).

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

138575760 is a wasteful number, since it uses less digits than its factorization.

138575760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577415 (or 577409 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The square root of 138575760 is about 11771.8205898663. The cubic root of 138575760 is about 517.4826057772.

The spelling of 138575760 in words is "one hundred thirty-eight million, five hundred seventy-five thousand, seven hundred sixty".