149881248 has 288 divisors, whose sum is σ = 517974912. Its totient is φ = 40888320.

The previous prime is 149881229. The next prime is 149881289. The reversal of 149881248 is 842188941.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6516565 + ... + 6516587.

It is an arithmetic number, because the mean of its divisors is an integer number (1798524).

Almost surely, 2^149881248 is an apocalyptic number.

149881248 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 149881248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258987456).

149881248 is an abundant number, since it is smaller than the sum of its proper divisors (368093664).

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

149881248 is a wasteful number, since it uses less digits than its factorization.

149881248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 56 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 149881248 is about 12242.5997239149. The cubic root of 149881248 is about 531.1890333174.

The spelling of 149881248 in words is "one hundred forty-nine million, eight hundred eighty-one thousand, two hundred forty-eight".