80138448 has 180 divisors, whose sum is σ = 252221580. Its totient is φ = 23721984.

The previous prime is 80138437. The next prime is 80138449. The reversal of 80138448 is 84483108.

80138448 is a `hidden beast` number, since 80 + 138 + 448 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8363664 + 71774784 = 2892^2 + 8472^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80138449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 900388 + ... + 900476.

It is an arithmetic number, because the mean of its divisors is an integer number (1401231).

Almost surely, 2^80138448 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 80138448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126110790).

80138448 is an abundant number, since it is smaller than the sum of its proper divisors (172083132).

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

80138448 is a wasteful number, since it uses less digits than its factorization.

80138448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 80138448 is about 8952.0080428918. The cubic root of 80138448 is about 431.1353590672.

It can be divided in two parts, 8013 and 8448, that added together give a palindrome (16461).

The spelling of 80138448 in words is "eighty million, one hundred thirty-eight thousand, four hundred forty-eight".