138530448 has 180 divisors, whose sum is σ = 467230140. Its totient is φ = 38158848.

The previous prime is 138530423. The next prime is 138530459. The reversal of 138530448 is 844035831.

138530448 = 154³ + 155³ + ... + 182³.

It can be written as a sum of positive squares in 2 ways, for example, as 115605504 + 22924944 = 10752^2 + 4788^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 204286 + ... + 204962.

It is an arithmetic number, because the mean of its divisors is an integer number (2595723).

Almost surely, 2^138530448 is an apocalyptic number.

138530448 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 138530448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233615070).

138530448 is an abundant number, since it is smaller than the sum of its proper divisors (328699692).

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

138530448 is a wasteful number, since it uses less digits than its factorization.

138530448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 138530448 is about 11769.8958364125. The cubic root of 138530448 is about 517.4261968545.

The spelling of 138530448 in words is "one hundred thirty-eight million, five hundred thirty thousand, four hundred forty-eight".