148876416 has 96 divisors (see below), whose sum is σ = 461408220. Its totient is φ = 45803520.

The previous prime is 148876379. The next prime is 148876439. The reversal of 148876416 is 614678841.

It can be written as a sum of positive squares in 2 ways, for example, as 104040000 + 44836416 = 10200^2 + 6696^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10006 + ... + 19946.

Almost surely, 2^148876416 is an apocalyptic number.

148876416 is a gapful number since it is divisible by the number (16) 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 148876416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230704110).

148876416 is an abundant number, since it is smaller than the sum of its proper divisors (312531804).

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

148876416 is a wasteful number, since it uses less digits than its factorization.

148876416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9974 (or 9959 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 148876416 is about 12201.4923677393. The cubic root of 148876416 is about 529.9993069885. Note that the first 3 decimals are identical.

The spelling of 148876416 in words is "one hundred forty-eight million, eight hundred seventy-six thousand, four hundred sixteen".