138208576 has 56 divisors (see below), whose sum is σ = 305629056. Its totient is φ = 61470720.

The previous prime is 138208573. The next prime is 138208591. The reversal of 138208576 is 675802831.

It is a super-2 number, since 2×138208576² = 38203220959895552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138208573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31000 + ... + 35176.

Almost surely, 2^138208576 is an apocalyptic number.

138208576 is a gapful number since it is divisible by the number (16) 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 138208576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152814528).

138208576 is an abundant number, since it is smaller than the sum of its proper divisors (167420480).

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

138208576 is a wasteful number, since it uses less digits than its factorization.

138208576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4247 (or 4237 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 138208576 is about 11756.2143566711. The cubic root of 138208576 is about 517.0251438448.

The spelling of 138208576 in words is "one hundred thirty-eight million, two hundred eight thousand, five hundred seventy-six".