149408 has 48 divisors (see below), whose sum is σ = 362880. Its totient is φ = 59136.

The previous prime is 149399. The next prime is 149411. The reversal of 149408 is 804941.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 149408.

It is an unprimeable number.

149408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5138 + ... + 5166.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2¹⁴⁹⁴⁰⁸ 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 149408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440).

149408 is an abundant number, since it is smaller than the sum of its proper divisors (213472).

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

149408 is a wasteful number, since it uses less digits than its factorization.

149408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 149408 is about 386.5333103369. The cubic root of 149408 is about 53.0629369813.

The spelling of 149408 in words is "one hundred forty-nine thousand, four hundred eight".