149309888 has 112 divisors (see below), whose sum is σ = 376879104. Its totient is φ = 57093120.

The previous prime is 149309887. The next prime is 149309903. The reversal of 149309888 is 888903941.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149309887) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 180131 + ... + 180957.

It is an arithmetic number, because the mean of its divisors is an integer number (3364992).

Almost surely, 2^149309888 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 149309888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188439552).

149309888 is an abundant number, since it is smaller than the sum of its proper divisors (227569216).

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

149309888 is a wasteful number, since it uses less digits than its factorization.

149309888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 50.

The square root of 149309888 is about 12219.2425297152. The cubic root of 149309888 is about 530.5131946227.

The spelling of 149309888 in words is "one hundred forty-nine million, three hundred nine thousand, eight hundred eighty-eight".