148681728 has 264 divisors, whose sum is σ = 496241928. Its totient is φ = 42467328.

The previous prime is 148681723. The next prime is 148681747. The reversal of 148681728 is 827186841.

It can be written as a sum of positive squares in 4 ways, for example, as 20358144 + 128323584 = 4512^2 + 11328^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148681721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2036700 + ... + 2036772.

Almost surely, 2^148681728 is an apocalyptic number.

148681728 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 148681728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248120964).

148681728 is an abundant number, since it is smaller than the sum of its proper divisors (347560200).

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

148681728 is a wasteful number, since it uses less digits than its factorization.

148681728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 108 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 148681728 is about 12193.5117173028. The cubic root of 148681728 is about 529.7681767683.

The spelling of 148681728 in words is "one hundred forty-eight million, six hundred eighty-one thousand, seven hundred twenty-eight".