138457344 has 72 divisors (see below), whose sum is σ = 371435680. Its totient is φ = 45785088.

The previous prime is 138457343. The next prime is 138457349. The reversal of 138457344 is 443754831.

138457344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138457344² = 38340872215068672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138457343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106104 + ... + 107400.

Almost surely, 2^138457344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138457344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185717840).

138457344 is an abundant number, since it is smaller than the sum of its proper divisors (232978336).

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

138457344 is a wasteful number, since it uses less digits than its factorization.

138457344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1441 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 138457344 is about 11766.7898765976. The cubic root of 138457344 is about 517.3351637256.

The spelling of 138457344 in words is "one hundred thirty-eight million, four hundred fifty-seven thousand, three hundred forty-four".