149658912 has 144 divisors (see below), whose sum is σ = 465611328. Its totient is φ = 45319680.

The previous prime is 149658911. The next prime is 149658919. The reversal of 149658912 is 219856941.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (149658911) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 265543 + ... + 266105.

It is an arithmetic number, because the mean of its divisors is an integer number (3233412).

Almost surely, 2^149658912 is an apocalyptic number.

149658912 is a gapful number since it is divisible by the number (12) 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 149658912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232805664).

149658912 is an abundant number, since it is smaller than the sum of its proper divisors (315952416).

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

149658912 is a wasteful number, since it uses less digits than its factorization.

149658912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 652 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 149658912 is about 12233.5159296091. The cubic root of 149658912 is about 530.9262455149.

The spelling of 149658912 in words is "one hundred forty-nine million, six hundred fifty-eight thousand, nine hundred twelve".