149435984 has 40 divisors (see below), whose sum is σ = 310058280. Its totient is φ = 69521408.

The previous prime is 149435941. The next prime is 149435999. The reversal of 149435984 is 489534941.

It can be written as a sum of positive squares in 4 ways, for example, as 107584 + 149328400 = 328^2 + 12220^2 .

It is a super-2 number, since 2×149435984² = 44662226628096512, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 21122 + ... + 27294.

It is an arithmetic number, because the mean of its divisors is an integer number (7751457).

Almost surely, 2^149435984 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 149435984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155029140).

149435984 is an abundant number, since it is smaller than the sum of its proper divisors (160622296).

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

149435984 is a wasteful number, since it uses less digits than its factorization.

149435984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6287 (or 6281 counting only the distinct ones).

The product of its digits is 622080, while the sum is 47.

The square root of 149435984 is about 12224.4011714276. The cubic root of 149435984 is about 530.6624965652.

The spelling of 149435984 in words is "one hundred forty-nine million, four hundred thirty-five thousand, nine hundred eighty-four".