138830825448 has 480 divisors, whose sum is σ = 481070715840. Its totient is φ = 37167621120.

The previous prime is 138830825423. The next prime is 138830825467. The reversal of 138830825448 is 844528038831.

138830825448 is a `hidden beast` number, since 1 + 3 + 88 + 308 + 254 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 138830825394 and 138830825403.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 167872411 + ... + 167873237.

It is an arithmetic number, because the mean of its divisors is an integer number (1002230658).

Almost surely, 2^138830825448 is an apocalyptic number.

138830825448 is a gapful number since it is divisible by the number (18) 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 138830825448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240535357920).

138830825448 is an abundant number, since it is smaller than the sum of its proper divisors (342239890392).

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

138830825448 is a wasteful number, since it uses less digits than its factorization.

138830825448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 138830825448 in words is "one hundred thirty-eight billion, eight hundred thirty million, eight hundred twenty-five thousand, four hundred forty-eight".