138444792 has 64 divisors (see below), whose sum is σ = 369408000. Its totient is φ = 43110144.

The previous prime is 138444769. The next prime is 138444793. The reversal of 138444792 is 297444831.

138444792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×138444792³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138444793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31209 + ... + 35367.

It is an arithmetic number, because the mean of its divisors is an integer number (5772000).

Almost surely, 2^138444792 is an apocalyptic number.

138444792 is a gapful number since it is divisible by the number (12) 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 138444792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184704000).

138444792 is an abundant number, since it is smaller than the sum of its proper divisors (230963208).

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

138444792 is a wasteful number, since it uses less digits than its factorization.

138444792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4260 (or 4256 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 138444792 is about 11766.2564989890. The cubic root of 138444792 is about 517.3195300606.

The spelling of 138444792 in words is "one hundred thirty-eight million, four hundred forty-four thousand, seven hundred ninety-two".