138782048 has 48 divisors (see below), whose sum is σ = 282275280. Its totient is φ = 67123200.

The previous prime is 138782047. The next prime is 138782051. The reversal of 138782048 is 840287831.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 138781996 and 138782014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138782047) 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, 181988 + ... + 182748.

It is an arithmetic number, because the mean of its divisors is an integer number (5880735).

Almost surely, 2^138782048 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 138782048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141137640).

138782048 is an abundant number, since it is smaller than the sum of its proper divisors (143493232).

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

138782048 is a wasteful number, since it uses less digits than its factorization.

138782048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The square root of 138782048 is about 11780.5792726843. The cubic root of 138782048 is about 517.7392584677.

The spelling of 138782048 in words is "one hundred thirty-eight million, seven hundred eighty-two thousand, forty-eight".